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Finding the Fourth Proportional to 32,605.70, 48,872.10 and 13,882.55

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Solution

The fourth proportional to 32,605.70, 48,872.10 and 13,882.55 is: 20,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.70 : 48,872.10 = 13,882.55 : x
  2. Step 2: Convert to fraction form
    32,605.70/48,872.10 = 13,882.55/x
  3. Step 3: Cross multiply
    32,605.70x = 48,872.10 × 13,882.55
  4. Step 4: Simplify right side
    32,605.70x = 678,469,371.86
  5. Step 5: Solve for x
    x = 678,469,371.86/32,605.70
  6. Step 6: Final answer
    x = 20,808.31

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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.