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Finding the Fourth Proportional to 32,134.50, 48,202.38 and 8,761.55

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Solution

The fourth proportional to 32,134.50, 48,202.38 and 8,761.55 is: 13,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134.50 : 48,202.38 = 8,761.55 : x
  2. Step 2: Convert to fraction form
    32,134.50/48,202.38 = 8,761.55/x
  3. Step 3: Cross multiply
    32,134.50x = 48,202.38 × 8,761.55
  4. Step 4: Simplify right side
    32,134.50x = 422,327,321.48
  5. Step 5: Solve for x
    x = 422,327,321.48/32,134.50
  6. Step 6: Final answer
    x = 13,142.49

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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.