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Finding the Fourth Proportional to 32,500.76, 48,747.36 and 9,129.20

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Solution

The fourth proportional to 32,500.76, 48,747.36 and 9,129.20 is: 13,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500.76 : 48,747.36 = 9,129.20 : x
  2. Step 2: Convert to fraction form
    32,500.76/48,747.36 = 9,129.20/x
  3. Step 3: Cross multiply
    32,500.76x = 48,747.36 × 9,129.20
  4. Step 4: Simplify right side
    32,500.76x = 445,024,398.91
  5. Step 5: Solve for x
    x = 445,024,398.91/32,500.76
  6. Step 6: Final answer
    x = 13,692.74

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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.