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Finding the Fourth Proportional to 39,627.47, 54,691.52 and 24,525

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Solution

The fourth proportional to 39,627.47, 54,691.52 and 24,525 is: 33,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,627.47 : 54,691.52 = 24,525 : x
  2. Step 2: Convert to fraction form
    39,627.47/54,691.52 = 24,525/x
  3. Step 3: Cross multiply
    39,627.47x = 54,691.52 × 24,525
  4. Step 4: Simplify right side
    39,627.47x = 1,341,309,405.38
  5. Step 5: Solve for x
    x = 1,341,309,405.38/39,627.47
  6. Step 6: Final answer
    x = 33,847.97

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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.