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Finding the Fourth Proportional to 71,198.97, 106,778.69 and 21,267.24

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Solution

The fourth proportional to 71,198.97, 106,778.69 and 21,267.24 is: 31,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,198.97 : 106,778.69 = 21,267.24 : x
  2. Step 2: Convert to fraction form
    71,198.97/106,778.69 = 21,267.24/x
  3. Step 3: Cross multiply
    71,198.97x = 106,778.69 × 21,267.24
  4. Step 4: Simplify right side
    71,198.97x = 2,270,887,920.78
  5. Step 5: Solve for x
    x = 2,270,887,920.78/71,198.97
  6. Step 6: Final answer
    x = 31,894.95

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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.