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Finding the Fourth Proportional to 27,805.23, 41,711.92 and 8,081.24

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Solution

The fourth proportional to 27,805.23, 41,711.92 and 8,081.24 is: 12,123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805.23 : 41,711.92 = 8,081.24 : x
  2. Step 2: Convert to fraction form
    27,805.23/41,711.92 = 8,081.24/x
  3. Step 3: Cross multiply
    27,805.23x = 41,711.92 × 8,081.24
  4. Step 4: Simplify right side
    27,805.23x = 337,083,807.62
  5. Step 5: Solve for x
    x = 337,083,807.62/27,805.23
  6. Step 6: Final answer
    x = 12,123.04

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1.5x scale

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.