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Finding the Fourth Proportional to 57,679.78, 86,535.60 and 24,382.30

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Solution

The fourth proportional to 57,679.78, 86,535.60 and 24,382.30 is: 36,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,679.78 : 86,535.60 = 24,382.30 : x
  2. Step 2: Convert to fraction form
    57,679.78/86,535.60 = 24,382.30/x
  3. Step 3: Cross multiply
    57,679.78x = 86,535.60 × 24,382.30
  4. Step 4: Simplify right side
    57,679.78x = 2,109,936,959.88
  5. Step 5: Solve for x
    x = 2,109,936,959.88/57,679.78
  6. Step 6: Final answer
    x = 36,580.18

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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.