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Finding the Fourth Proportional to 32,522.60, 48,793.08 and 9,149.24

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Solution

The fourth proportional to 32,522.60, 48,793.08 and 9,149.24 is: 13,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522.60 : 48,793.08 = 9,149.24 : x
  2. Step 2: Convert to fraction form
    32,522.60/48,793.08 = 9,149.24/x
  3. Step 3: Cross multiply
    32,522.60x = 48,793.08 × 9,149.24
  4. Step 4: Simplify right side
    32,522.60x = 446,419,599.26
  5. Step 5: Solve for x
    x = 446,419,599.26/32,522.60
  6. Step 6: Final answer
    x = 13,726.44

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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.