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Finding the Fourth Proportional to 57,039, 78,714.09 and 31,893.36

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Solution

The fourth proportional to 57,039, 78,714.09 and 31,893.36 is: 44,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,039 : 78,714.09 = 31,893.36 : x
  2. Step 2: Convert to fraction form
    57,039/78,714.09 = 31,893.36/x
  3. Step 3: Cross multiply
    57,039x = 78,714.09 × 31,893.36
  4. Step 4: Simplify right side
    57,039x = 2,510,456,809.44
  5. Step 5: Solve for x
    x = 2,510,456,809.44/57,039
  6. Step 6: Final answer
    x = 44,012.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.