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Finding the Fourth Proportional to 56,940, 78,577.56 and 31,789.68

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Solution

The fourth proportional to 56,940, 78,577.56 and 31,789.68 is: 43,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,940 : 78,577.56 = 31,789.68 : x
  2. Step 2: Convert to fraction form
    56,940/78,577.56 = 31,789.68/x
  3. Step 3: Cross multiply
    56,940x = 78,577.56 × 31,789.68
  4. Step 4: Simplify right side
    56,940x = 2,497,955,487.58
  5. Step 5: Solve for x
    x = 2,497,955,487.58/56,940
  6. Step 6: Final answer
    x = 43,869.96

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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.