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Finding the Fourth Proportional to 70,789.84, 106,198.24 and 26,414.80

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Solution

The fourth proportional to 70,789.84, 106,198.24 and 26,414.80 is: 39,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,789.84 : 106,198.24 = 26,414.80 : x
  2. Step 2: Convert to fraction form
    70,789.84/106,198.24 = 26,414.80/x
  3. Step 3: Cross multiply
    70,789.84x = 106,198.24 × 26,414.80
  4. Step 4: Simplify right side
    70,789.84x = 2,805,205,269.95
  5. Step 5: Solve for x
    x = 2,805,205,269.95/70,789.84
  6. Step 6: Final answer
    x = 39,627.23

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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.