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Finding the Fourth Proportional to 27,901.80, 41,842.80 and 8,175.24

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Solution

The fourth proportional to 27,901.80, 41,842.80 and 8,175.24 is: 12,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,901.80 : 41,842.80 = 8,175.24 : x
  2. Step 2: Convert to fraction form
    27,901.80/41,842.80 = 8,175.24/x
  3. Step 3: Cross multiply
    27,901.80x = 41,842.80 × 8,175.24
  4. Step 4: Simplify right side
    27,901.80x = 342,074,932.27
  5. Step 5: Solve for x
    x = 342,074,932.27/27,901.80
  6. Step 6: Final answer
    x = 12,259.96

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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.