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Finding the Fourth Proportional to 41,408.85, 57,144.15 and 22,545.96

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Solution

The fourth proportional to 41,408.85, 57,144.15 and 22,545.96 is: 31,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,408.85 : 57,144.15 = 22,545.96 : x
  2. Step 2: Convert to fraction form
    41,408.85/57,144.15 = 22,545.96/x
  3. Step 3: Cross multiply
    41,408.85x = 57,144.15 × 22,545.96
  4. Step 4: Simplify right side
    41,408.85x = 1,288,369,720.13
  5. Step 5: Solve for x
    x = 1,288,369,720.13/41,408.85
  6. Step 6: Final answer
    x = 31,113.39

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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.