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Finding the Fourth Proportional to 27,836.50, 41,758.62 and 8,116.48

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Solution

The fourth proportional to 27,836.50, 41,758.62 and 8,116.48 is: 12,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,836.50 : 41,758.62 = 8,116.48 : x
  2. Step 2: Convert to fraction form
    27,836.50/41,758.62 = 8,116.48/x
  3. Step 3: Cross multiply
    27,836.50x = 41,758.62 × 8,116.48
  4. Step 4: Simplify right side
    27,836.50x = 338,933,004.06
  5. Step 5: Solve for x
    x = 338,933,004.06/27,836.50
  6. Step 6: Final answer
    x = 12,175.85

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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.