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Finding the Fourth Proportional to 71,695.68, 107,543.52 and 32,231.52

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Solution

The fourth proportional to 71,695.68, 107,543.52 and 32,231.52 is: 48,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,695.68 : 107,543.52 = 32,231.52 : x
  2. Step 2: Convert to fraction form
    71,695.68/107,543.52 = 32,231.52/x
  3. Step 3: Cross multiply
    71,695.68x = 107,543.52 × 32,231.52
  4. Step 4: Simplify right side
    71,695.68x = 3,466,291,115.75
  5. Step 5: Solve for x
    x = 3,466,291,115.75/71,695.68
  6. Step 6: Final answer
    x = 48,347.28

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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.