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Finding the Fourth Proportional to 54,003.94, 80,996.56 and 24,414.90

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Solution

The fourth proportional to 54,003.94, 80,996.56 and 24,414.90 is: 36,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,003.94 : 80,996.56 = 24,414.90 : x
  2. Step 2: Convert to fraction form
    54,003.94/80,996.56 = 24,414.90/x
  3. Step 3: Cross multiply
    54,003.94x = 80,996.56 × 24,414.90
  4. Step 4: Simplify right side
    54,003.94x = 1,977,522,912.74
  5. Step 5: Solve for x
    x = 1,977,522,912.74/54,003.94
  6. Step 6: Final answer
    x = 36,618.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.