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Finding the Fourth Proportional to 27,761.20, 41,641.80 and 15,902.80

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Solution

The fourth proportional to 27,761.20, 41,641.80 and 15,902.80 is: 23,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.20 : 41,641.80 = 15,902.80 : x
  2. Step 2: Convert to fraction form
    27,761.20/41,641.80 = 15,902.80/x
  3. Step 3: Cross multiply
    27,761.20x = 41,641.80 × 15,902.80
  4. Step 4: Simplify right side
    27,761.20x = 662,221,217.04
  5. Step 5: Solve for x
    x = 662,221,217.04/27,761.20
  6. Step 6: Final answer
    x = 23,854.20

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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.