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Finding the Fourth Proportional to 27,842.88, 41,759.89 and 8,116.83

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Solution

The fourth proportional to 27,842.88, 41,759.89 and 8,116.83 is: 12,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.88 : 41,759.89 = 8,116.83 : x
  2. Step 2: Convert to fraction form
    27,842.88/41,759.89 = 8,116.83/x
  3. Step 3: Cross multiply
    27,842.88x = 41,759.89 × 8,116.83
  4. Step 4: Simplify right side
    27,842.88x = 338,957,907.66
  5. Step 5: Solve for x
    x = 338,957,907.66/27,842.88
  6. Step 6: Final answer
    x = 12,173.95

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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.