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Finding the Fourth Proportional to 67,231.92, 100,876.68 and 27,817.68

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Solution

The fourth proportional to 67,231.92, 100,876.68 and 27,817.68 is: 41,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,231.92 : 100,876.68 = 27,817.68 : x
  2. Step 2: Convert to fraction form
    67,231.92/100,876.68 = 27,817.68/x
  3. Step 3: Cross multiply
    67,231.92x = 100,876.68 × 27,817.68
  4. Step 4: Simplify right side
    67,231.92x = 2,806,155,203.70
  5. Step 5: Solve for x
    x = 2,806,155,203.70/67,231.92
  6. Step 6: Final answer
    x = 41,738.44

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1.5x scale

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.