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Finding the Fourth Proportional to 27,843.30, 41,760.09 and 8,119.80

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Solution

The fourth proportional to 27,843.30, 41,760.09 and 8,119.80 is: 12,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.30 : 41,760.09 = 8,119.80 : x
  2. Step 2: Convert to fraction form
    27,843.30/41,760.09 = 8,119.80/x
  3. Step 3: Cross multiply
    27,843.30x = 41,760.09 × 8,119.80
  4. Step 4: Simplify right side
    27,843.30x = 339,083,578.78
  5. Step 5: Solve for x
    x = 339,083,578.78/27,843.30
  6. Step 6: Final answer
    x = 12,178.28

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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.