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Finding the Fourth Proportional to 41,404.66, 57,145.90 and 24,407.90

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Solution

The fourth proportional to 41,404.66, 57,145.90 and 24,407.90 is: 33,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,404.66 : 57,145.90 = 24,407.90 : x
  2. Step 2: Convert to fraction form
    41,404.66/57,145.90 = 24,407.90/x
  3. Step 3: Cross multiply
    41,404.66x = 57,145.90 × 24,407.90
  4. Step 4: Simplify right side
    41,404.66x = 1,394,811,412.61
  5. Step 5: Solve for x
    x = 1,394,811,412.61/41,404.66
  6. Step 6: Final answer
    x = 33,687.31

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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.