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Finding the Fourth Proportional to 27,840.80, 41,761.19 and 8,119.35

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Solution

The fourth proportional to 27,840.80, 41,761.19 and 8,119.35 is: 12,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.80 : 41,761.19 = 8,119.35 : x
  2. Step 2: Convert to fraction form
    27,840.80/41,761.19 = 8,119.35/x
  3. Step 3: Cross multiply
    27,840.80x = 41,761.19 × 8,119.35
  4. Step 4: Simplify right side
    27,840.80x = 339,073,697.73
  5. Step 5: Solve for x
    x = 339,073,697.73/27,840.80
  6. Step 6: Final answer
    x = 12,179.02

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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.