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Finding the Fourth Proportional to 83,286.62, 114,935.18 and 45,046.21

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Solution

The fourth proportional to 83,286.62, 114,935.18 and 45,046.21 is: 62,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,286.62 : 114,935.18 = 45,046.21 : x
  2. Step 2: Convert to fraction form
    83,286.62/114,935.18 = 45,046.21/x
  3. Step 3: Cross multiply
    83,286.62x = 114,935.18 × 45,046.21
  4. Step 4: Simplify right side
    83,286.62x = 5,177,393,454.76
  5. Step 5: Solve for x
    x = 5,177,393,454.76/83,286.62
  6. Step 6: Final answer
    x = 62,163.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.