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Finding the Fourth Proportional to 41,404.76, 57,138.70 and 22,542

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Solution

The fourth proportional to 41,404.76, 57,138.70 and 22,542 is: 31,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,404.76 : 57,138.70 = 22,542 : x
  2. Step 2: Convert to fraction form
    41,404.76/57,138.70 = 22,542/x
  3. Step 3: Cross multiply
    41,404.76x = 57,138.70 × 22,542
  4. Step 4: Simplify right side
    41,404.76x = 1,288,020,575.40
  5. Step 5: Solve for x
    x = 1,288,020,575.40/41,404.76
  6. Step 6: Final answer
    x = 31,108.03

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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.