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Finding the Fourth Proportional to 41,755.46, 57,624.89 and 24,769.76

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Solution

The fourth proportional to 41,755.46, 57,624.89 and 24,769.76 is: 34,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,755.46 : 57,624.89 = 24,769.76 : x
  2. Step 2: Convert to fraction form
    41,755.46/57,624.89 = 24,769.76/x
  3. Step 3: Cross multiply
    41,755.46x = 57,624.89 × 24,769.76
  4. Step 4: Simplify right side
    41,755.46x = 1,427,354,283.35
  5. Step 5: Solve for x
    x = 1,427,354,283.35/41,755.46
  6. Step 6: Final answer
    x = 34,183.66

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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.