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Finding the Fourth Proportional to 27,835.68, 41,759.58 and 8,115.96

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Solution

The fourth proportional to 27,835.68, 41,759.58 and 8,115.96 is: 12,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.68 : 41,759.58 = 8,115.96 : x
  2. Step 2: Convert to fraction form
    27,835.68/41,759.58 = 8,115.96/x
  3. Step 3: Cross multiply
    27,835.68x = 41,759.58 × 8,115.96
  4. Step 4: Simplify right side
    27,835.68x = 338,919,080.90
  5. Step 5: Solve for x
    x = 338,919,080.90/27,835.68
  6. Step 6: Final answer
    x = 12,175.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.