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Finding the Fourth Proportional to 41,454.31, 57,226.16 and 24,452.83

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Solution

The fourth proportional to 41,454.31, 57,226.16 and 24,452.83 is: 33,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,454.31 : 57,226.16 = 24,452.83 : x
  2. Step 2: Convert to fraction form
    41,454.31/57,226.16 = 24,452.83/x
  3. Step 3: Cross multiply
    41,454.31x = 57,226.16 × 24,452.83
  4. Step 4: Simplify right side
    41,454.31x = 1,399,341,562.03
  5. Step 5: Solve for x
    x = 1,399,341,562.03/41,454.31
  6. Step 6: Final answer
    x = 33,756.24

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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.