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Finding the Fourth Proportional to 83,227.70, 124,853.39 and 27,049.74

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Solution

The fourth proportional to 83,227.70, 124,853.39 and 27,049.74 is: 40,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,227.70 : 124,853.39 = 27,049.74 : x
  2. Step 2: Convert to fraction form
    83,227.70/124,853.39 = 27,049.74/x
  3. Step 3: Cross multiply
    83,227.70x = 124,853.39 × 27,049.74
  4. Step 4: Simplify right side
    83,227.70x = 3,377,251,602.37
  5. Step 5: Solve for x
    x = 3,377,251,602.37/83,227.70
  6. Step 6: Final answer
    x = 40,578.46

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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.