There may have been other factors involved, but the simplest explanation is that Dewey received a favorite son boost (he was born and raised in Owasso, Michigan).
Well, Willkie carried Michigan against FDR in 1940, while FDR carried it against Dewey in 1944 (the only state that switched that way between those two elections; Republicans gained Ohio, Wisconsin and Wyoming), so that kind of weakens that theory. Although the U.S. wasn't in WWII yet in 1940 and that may have been big for the Michigan economy by 1944.