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Finding the Fourth Proportional to 27,747.03, 41,626.78 and 8,027.12

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Solution

The fourth proportional to 27,747.03, 41,626.78 and 8,027.12 is: 12,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747.03 : 41,626.78 = 8,027.12 : x
  2. Step 2: Convert to fraction form
    27,747.03/41,626.78 = 8,027.12/x
  3. Step 3: Cross multiply
    27,747.03x = 41,626.78 × 8,027.12
  4. Step 4: Simplify right side
    27,747.03x = 334,143,242.27
  5. Step 5: Solve for x
    x = 334,143,242.27/27,747.03
  6. Step 6: Final answer
    x = 12,042.49

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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.