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Finding the Fourth Proportional to 32,469.80, 48,708.12 and 10,286.24

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Solution

The fourth proportional to 32,469.80, 48,708.12 and 10,286.24 is: 15,430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.80 : 48,708.12 = 10,286.24 : x
  2. Step 2: Convert to fraction form
    32,469.80/48,708.12 = 10,286.24/x
  3. Step 3: Cross multiply
    32,469.80x = 48,708.12 × 10,286.24
  4. Step 4: Simplify right side
    32,469.80x = 501,023,412.27
  5. Step 5: Solve for x
    x = 501,023,412.27/32,469.80
  6. Step 6: Final answer
    x = 15,430.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.