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Finding the Fourth Proportional to 41,863.42, 57,769.77 and 24,869.22

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Solution

The fourth proportional to 41,863.42, 57,769.77 and 24,869.22 is: 34,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,863.42 : 57,769.77 = 24,869.22 : x
  2. Step 2: Convert to fraction form
    41,863.42/57,769.77 = 24,869.22/x
  3. Step 3: Cross multiply
    41,863.42x = 57,769.77 × 24,869.22
  4. Step 4: Simplify right side
    41,863.42x = 1,436,689,119.48
  5. Step 5: Solve for x
    x = 1,436,689,119.48/41,863.42
  6. Step 6: Final answer
    x = 34,318.48

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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.