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Finding the Fourth Proportional to 27,882.24, 41,828.80 and 8,161.12

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Solution

The fourth proportional to 27,882.24, 41,828.80 and 8,161.12 is: 12,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.24 : 41,828.80 = 8,161.12 : x
  2. Step 2: Convert to fraction form
    27,882.24/41,828.80 = 8,161.12/x
  3. Step 3: Cross multiply
    27,882.24x = 41,828.80 × 8,161.12
  4. Step 4: Simplify right side
    27,882.24x = 341,369,856.26
  5. Step 5: Solve for x
    x = 341,369,856.26/27,882.24
  6. Step 6: Final answer
    x = 12,243.27

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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.