Viggo Meulengracht Madsen (13 November 1889 in Vejle, Denmark – 17 June 1979 in Helleruplund, Denmark) was a Danish gymnast who competed in the 1908 Summer Olympics and in the 1912 Summer Olympics.

Four years later, he won the bronze medal in the gymnastics men's team free system event.

[2] His brothers, Hans Meulengracht-Madsen and Svend Madsen were also Olympic competitors, in sailing and gymnatics, respectively.

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