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Finding the Fourth Proportional to 32,029.38, 44,202.03 and 17,691.21

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Solution

The fourth proportional to 32,029.38, 44,202.03 and 17,691.21 is: 24,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029.38 : 44,202.03 = 17,691.21 : x
  2. Step 2: Convert to fraction form
    32,029.38/44,202.03 = 17,691.21/x
  3. Step 3: Cross multiply
    32,029.38x = 44,202.03 × 17,691.21
  4. Step 4: Simplify right side
    32,029.38x = 781,987,395.16
  5. Step 5: Solve for x
    x = 781,987,395.16/32,029.38
  6. Step 6: Final answer
    x = 24,414.69

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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.