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Finding the Fourth Proportional to 27,837.90, 41,759.55 and 8,116.65

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Solution

The fourth proportional to 27,837.90, 41,759.55 and 8,116.65 is: 12,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837.90 : 41,759.55 = 8,116.65 : x
  2. Step 2: Convert to fraction form
    27,837.90/41,759.55 = 8,116.65/x
  3. Step 3: Cross multiply
    27,837.90x = 41,759.55 × 8,116.65
  4. Step 4: Simplify right side
    27,837.90x = 338,947,651.51
  5. Step 5: Solve for x
    x = 338,947,651.51/27,837.90
  6. Step 6: Final answer
    x = 12,175.76

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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.