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Finding the Fourth Proportional to 27,978.80, 41,958.42 and 8,252.12

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Solution

The fourth proportional to 27,978.80, 41,958.42 and 8,252.12 is: 12,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.80 : 41,958.42 = 8,252.12 : x
  2. Step 2: Convert to fraction form
    27,978.80/41,958.42 = 8,252.12/x
  3. Step 3: Cross multiply
    27,978.80x = 41,958.42 × 8,252.12
  4. Step 4: Simplify right side
    27,978.80x = 346,245,916.85
  5. Step 5: Solve for x
    x = 346,245,916.85/27,978.80
  6. Step 6: Final answer
    x = 12,375.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.