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Finding the Fourth Proportional to 83,286.30, 114,934.74 and 45,045.89

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Solution

The fourth proportional to 83,286.30, 114,934.74 and 45,045.89 is: 62,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,286.30 : 114,934.74 = 45,045.89 : x
  2. Step 2: Convert to fraction form
    83,286.30/114,934.74 = 45,045.89/x
  3. Step 3: Cross multiply
    83,286.30x = 114,934.74 × 45,045.89
  4. Step 4: Simplify right side
    83,286.30x = 5,177,336,855.32
  5. Step 5: Solve for x
    x = 5,177,336,855.32/83,286.30
  6. Step 6: Final answer
    x = 62,163.13

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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.