The pilot transmitted on UNICOM that he was on final for 24. Following a double fuel starvation power loss, the airplane impacted nose low with trees and terrain about 2.6 miles from runway 24. Last fueling occurred on the previous day at Albermarle, NC, the pilot's primary source of fuel, 50 miles from Burlington. The flight proceeded to Burlington, Teterboro, and was returning to Burlington. Total estimated flight time was 4 hours 32 minutes. Fuel burn was calculated to be 361 gallons. Usable fuel was 384 gallons and 24 gallons were recovered from the right center tank. If the fuel transfer pump does not operate, 28 gallons will be unusable. That pump was found in the off position. No fuel spillage occurred at the scene. On 2/8/90, the pilot purchased 361 gallons of fuel for N110LT. Lower fuel prices at the favored location were the pilot's reason for fueling there. Examination of engines, propellers, fuel pumps, and other relative components did not reveal any significant discrepancy.