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Finding the Fourth Proportional to 32,013.50, 48,004.90 and 15,132.46

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Solution

The fourth proportional to 32,013.50, 48,004.90 and 15,132.46 is: 22,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.50 : 48,004.90 = 15,132.46 : x
  2. Step 2: Convert to fraction form
    32,013.50/48,004.90 = 15,132.46/x
  3. Step 3: Cross multiply
    32,013.50x = 48,004.90 × 15,132.46
  4. Step 4: Simplify right side
    32,013.50x = 726,432,229.05
  5. Step 5: Solve for x
    x = 726,432,229.05/32,013.50
  6. Step 6: Final answer
    x = 22,691.43

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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.