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Finding the Fourth Proportional to 57,462.56, 86,191.12 and 20,031.04

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Solution

The fourth proportional to 57,462.56, 86,191.12 and 20,031.04 is: 30,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,462.56 : 86,191.12 = 20,031.04 : x
  2. Step 2: Convert to fraction form
    57,462.56/86,191.12 = 20,031.04/x
  3. Step 3: Cross multiply
    57,462.56x = 86,191.12 × 20,031.04
  4. Step 4: Simplify right side
    57,462.56x = 1,726,497,772.36
  5. Step 5: Solve for x
    x = 1,726,497,772.36/57,462.56
  6. Step 6: Final answer
    x = 30,045.61

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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.