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Finding the Fourth Proportional to 41,408.68, 57,144 and 22,545.84

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Solution

The fourth proportional to 41,408.68, 57,144 and 22,545.84 is: 31,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,408.68 : 57,144 = 22,545.84 : x
  2. Step 2: Convert to fraction form
    41,408.68/57,144 = 22,545.84/x
  3. Step 3: Cross multiply
    41,408.68x = 57,144 × 22,545.84
  4. Step 4: Simplify right side
    41,408.68x = 1,288,359,480.96
  5. Step 5: Solve for x
    x = 1,288,359,480.96/41,408.68
  6. Step 6: Final answer
    x = 31,113.27

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