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Finding the Fourth Proportional to 65,747.71, 98,646.42 and 39,470.77

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Solution

The fourth proportional to 65,747.71, 98,646.42 and 39,470.77 is: 59,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,747.71 : 98,646.42 = 39,470.77 : x
  2. Step 2: Convert to fraction form
    65,747.71/98,646.42 = 39,470.77/x
  3. Step 3: Cross multiply
    65,747.71x = 98,646.42 × 39,470.77
  4. Step 4: Simplify right side
    65,747.71x = 3,893,650,155.14
  5. Step 5: Solve for x
    x = 3,893,650,155.14/65,747.71
  6. Step 6: Final answer
    x = 59,221.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.