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Finding the Fourth Proportional to 83,286.87, 124,943.24 and 27,113.77

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Solution

The fourth proportional to 83,286.87, 124,943.24 and 27,113.77 is: 40,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,286.87 : 124,943.24 = 27,113.77 : x
  2. Step 2: Convert to fraction form
    83,286.87/124,943.24 = 27,113.77/x
  3. Step 3: Cross multiply
    83,286.87x = 124,943.24 × 27,113.77
  4. Step 4: Simplify right side
    83,286.87x = 3,387,682,496.38
  5. Step 5: Solve for x
    x = 3,387,682,496.38/83,286.87
  6. Step 6: Final answer
    x = 40,674.87

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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.