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Finding the Fourth Proportional to 27,951.97, 41,928.36 and 8,226.04

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Solution

The fourth proportional to 27,951.97, 41,928.36 and 8,226.04 is: 12,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951.97 : 41,928.36 = 8,226.04 : x
  2. Step 2: Convert to fraction form
    27,951.97/41,928.36 = 8,226.04/x
  3. Step 3: Cross multiply
    27,951.97x = 41,928.36 × 8,226.04
  4. Step 4: Simplify right side
    27,951.97x = 344,904,366.49
  5. Step 5: Solve for x
    x = 344,904,366.49/27,951.97
  6. Step 6: Final answer
    x = 12,339.18

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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.