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Finding the Fourth Proportional to 39,497.40, 59,102.10 and 29,129.40

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Solution

The fourth proportional to 39,497.40, 59,102.10 and 29,129.40 is: 43,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,497.40 : 59,102.10 = 29,129.40 : x
  2. Step 2: Convert to fraction form
    39,497.40/59,102.10 = 29,129.40/x
  3. Step 3: Cross multiply
    39,497.40x = 59,102.10 × 29,129.40
  4. Step 4: Simplify right side
    39,497.40x = 1,721,608,711.74
  5. Step 5: Solve for x
    x = 1,721,608,711.74/39,497.40
  6. Step 6: Final answer
    x = 43,587.90

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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.