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Finding the Fourth Proportional to 40,757.80, 56,245.72 and 24,842.20

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Solution

The fourth proportional to 40,757.80, 56,245.72 and 24,842.20 is: 34,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,757.80 : 56,245.72 = 24,842.20 : x
  2. Step 2: Convert to fraction form
    40,757.80/56,245.72 = 24,842.20/x
  3. Step 3: Cross multiply
    40,757.80x = 56,245.72 × 24,842.20
  4. Step 4: Simplify right side
    40,757.80x = 1,397,267,425.38
  5. Step 5: Solve for x
    x = 1,397,267,425.38/40,757.80
  6. Step 6: Final answer
    x = 34,282.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.