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Finding the Fourth Proportional to 56,761.72, 78,249.34 and 39,713.14

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Solution

The fourth proportional to 56,761.72, 78,249.34 and 39,713.14 is: 54,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,761.72 : 78,249.34 = 39,713.14 : x
  2. Step 2: Convert to fraction form
    56,761.72/78,249.34 = 39,713.14/x
  3. Step 3: Cross multiply
    56,761.72x = 78,249.34 × 39,713.14
  4. Step 4: Simplify right side
    56,761.72x = 3,107,527,141.78
  5. Step 5: Solve for x
    x = 3,107,527,141.78/56,761.72
  6. Step 6: Final answer
    x = 54,746.88

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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.