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Finding the Fourth Proportional to 27,902.34, 41,859.36 and 8,179.29

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Solution

The fourth proportional to 27,902.34, 41,859.36 and 8,179.29 is: 12,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.34 : 41,859.36 = 8,179.29 : x
  2. Step 2: Convert to fraction form
    27,902.34/41,859.36 = 8,179.29/x
  3. Step 3: Cross multiply
    27,902.34x = 41,859.36 × 8,179.29
  4. Step 4: Simplify right side
    27,902.34x = 342,379,844.65
  5. Step 5: Solve for x
    x = 342,379,844.65/27,902.34
  6. Step 6: Final answer
    x = 12,270.65

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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.