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Finding the Fourth Proportional to 27,542.44, 41,315.20 and 7,819.44

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Solution

The fourth proportional to 27,542.44, 41,315.20 and 7,819.44 is: 11,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.44 : 41,315.20 = 7,819.44 : x
  2. Step 2: Convert to fraction form
    27,542.44/41,315.20 = 7,819.44/x
  3. Step 3: Cross multiply
    27,542.44x = 41,315.20 × 7,819.44
  4. Step 4: Simplify right side
    27,542.44x = 323,061,727.49
  5. Step 5: Solve for x
    x = 323,061,727.49/27,542.44
  6. Step 6: Final answer
    x = 11,729.60

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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.