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Finding the Fourth Proportional to 71,713.32, 98,966.82 and 39,449.31

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Solution

The fourth proportional to 71,713.32, 98,966.82 and 39,449.31 is: 54,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,713.32 : 98,966.82 = 39,449.31 : x
  2. Step 2: Convert to fraction form
    71,713.32/98,966.82 = 39,449.31/x
  3. Step 3: Cross multiply
    71,713.32x = 98,966.82 × 39,449.31
  4. Step 4: Simplify right side
    71,713.32x = 3,904,172,761.89
  5. Step 5: Solve for x
    x = 3,904,172,761.89/71,713.32
  6. Step 6: Final answer
    x = 54,441.39

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Why These Related Problems?

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