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Finding the Fourth Proportional to 67,638.20, 101,471.70 and 20,895.80

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Solution

The fourth proportional to 67,638.20, 101,471.70 and 20,895.80 is: 31,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,638.20 : 101,471.70 = 20,895.80 : x
  2. Step 2: Convert to fraction form
    67,638.20/101,471.70 = 20,895.80/x
  3. Step 3: Cross multiply
    67,638.20x = 101,471.70 × 20,895.80
  4. Step 4: Simplify right side
    67,638.20x = 2,120,332,348.86
  5. Step 5: Solve for x
    x = 2,120,332,348.86/67,638.20
  6. Step 6: Final answer
    x = 31,348.15

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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.