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Finding the Fourth Proportional to 27,793.13, 41,689.69 and 8,071.85

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Solution

The fourth proportional to 27,793.13, 41,689.69 and 8,071.85 is: 12,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.13 : 41,689.69 = 8,071.85 : x
  2. Step 2: Convert to fraction form
    27,793.13/41,689.69 = 8,071.85/x
  3. Step 3: Cross multiply
    27,793.13x = 41,689.69 × 8,071.85
  4. Step 4: Simplify right side
    27,793.13x = 336,513,008.27
  5. Step 5: Solve for x
    x = 336,513,008.27/27,793.13
  6. Step 6: Final answer
    x = 12,107.78

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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.