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Finding the Fourth Proportional to 67,231.80, 100,847.70 and 56,734.20

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Solution

The fourth proportional to 67,231.80, 100,847.70 and 56,734.20 is: 85,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,231.80 : 100,847.70 = 56,734.20 : x
  2. Step 2: Convert to fraction form
    67,231.80/100,847.70 = 56,734.20/x
  3. Step 3: Cross multiply
    67,231.80x = 100,847.70 × 56,734.20
  4. Step 4: Simplify right side
    67,231.80x = 5,721,513,581.34
  5. Step 5: Solve for x
    x = 5,721,513,581.34/67,231.80
  6. Step 6: Final answer
    x = 85,101.30

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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.