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Finding the Fourth Proportional to 27,952.92, 41,929.65 and 8,231.85

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Solution

The fourth proportional to 27,952.92, 41,929.65 and 8,231.85 is: 12,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.92 : 41,929.65 = 8,231.85 : x
  2. Step 2: Convert to fraction form
    27,952.92/41,929.65 = 8,231.85/x
  3. Step 3: Cross multiply
    27,952.92x = 41,929.65 × 8,231.85
  4. Step 4: Simplify right side
    27,952.92x = 345,158,589.35
  5. Step 5: Solve for x
    x = 345,158,589.35/27,952.92
  6. Step 6: Final answer
    x = 12,347.85

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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.