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Finding the Fourth Proportional to 83,231.82, 124,859.58 and 27,053.87

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Solution

The fourth proportional to 83,231.82, 124,859.58 and 27,053.87 is: 40,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231.82 : 124,859.58 = 27,053.87 : x
  2. Step 2: Convert to fraction form
    83,231.82/124,859.58 = 27,053.87/x
  3. Step 3: Cross multiply
    83,231.82x = 124,859.58 × 27,053.87
  4. Step 4: Simplify right side
    83,231.82x = 3,377,934,119.82
  5. Step 5: Solve for x
    x = 3,377,934,119.82/83,231.82
  6. Step 6: Final answer
    x = 40,584.65

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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.