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Finding the Fourth Proportional to 71,046.38, 98,043.52 and 38,780.86

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Solution

The fourth proportional to 71,046.38, 98,043.52 and 38,780.86 is: 53,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,046.38 : 98,043.52 = 38,780.86 : x
  2. Step 2: Convert to fraction form
    71,046.38/98,043.52 = 38,780.86/x
  3. Step 3: Cross multiply
    71,046.38x = 98,043.52 × 38,780.86
  4. Step 4: Simplify right side
    71,046.38x = 3,802,212,023.03
  5. Step 5: Solve for x
    x = 3,802,212,023.03/71,046.38
  6. Step 6: Final answer
    x = 53,517.32

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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.