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Finding the Fourth Proportional to 41,344.80, 57,057.48 and 23,442

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Solution

The fourth proportional to 41,344.80, 57,057.48 and 23,442 is: 32,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,344.80 : 57,057.48 = 23,442 : x
  2. Step 2: Convert to fraction form
    41,344.80/57,057.48 = 23,442/x
  3. Step 3: Cross multiply
    41,344.80x = 57,057.48 × 23,442
  4. Step 4: Simplify right side
    41,344.80x = 1,337,541,446.16
  5. Step 5: Solve for x
    x = 1,337,541,446.16/41,344.80
  6. Step 6: Final answer
    x = 32,350.90

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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.