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Finding the Fourth Proportional to 57,672.70, 86,508.52 and 18,229.84

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Solution

The fourth proportional to 57,672.70, 86,508.52 and 18,229.84 is: 27,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,672.70 : 86,508.52 = 18,229.84 : x
  2. Step 2: Convert to fraction form
    57,672.70/86,508.52 = 18,229.84/x
  3. Step 3: Cross multiply
    57,672.70x = 86,508.52 × 18,229.84
  4. Step 4: Simplify right side
    57,672.70x = 1,577,036,478.24
  5. Step 5: Solve for x
    x = 1,577,036,478.24/57,672.70
  6. Step 6: Final answer
    x = 27,344.59

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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.