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Finding the Fourth Proportional to 67,205.40, 100,764.90 and 27,778.20

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Solution

The fourth proportional to 67,205.40, 100,764.90 and 27,778.20 is: 41,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,205.40 : 100,764.90 = 27,778.20 : x
  2. Step 2: Convert to fraction form
    67,205.40/100,764.90 = 27,778.20/x
  3. Step 3: Cross multiply
    67,205.40x = 100,764.90 × 27,778.20
  4. Step 4: Simplify right side
    67,205.40x = 2,799,067,545.18
  5. Step 5: Solve for x
    x = 2,799,067,545.18/67,205.40
  6. Step 6: Final answer
    x = 41,649.44

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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.