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Finding the Fourth Proportional to 27,729.56, 41,589.72 and 8,002.82

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Solution

The fourth proportional to 27,729.56, 41,589.72 and 8,002.82 is: 12,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,729.56 : 41,589.72 = 8,002.82 : x
  2. Step 2: Convert to fraction form
    27,729.56/41,589.72 = 8,002.82/x
  3. Step 3: Cross multiply
    27,729.56x = 41,589.72 × 8,002.82
  4. Step 4: Simplify right side
    27,729.56x = 332,834,835.06
  5. Step 5: Solve for x
    x = 332,834,835.06/27,729.56
  6. Step 6: Final answer
    x = 12,002.89

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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.