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Finding the Fourth Proportional to 27,847.56, 41,763.15 and 8,119.92

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Solution

The fourth proportional to 27,847.56, 41,763.15 and 8,119.92 is: 12,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.56 : 41,763.15 = 8,119.92 : x
  2. Step 2: Convert to fraction form
    27,847.56/41,763.15 = 8,119.92/x
  3. Step 3: Cross multiply
    27,847.56x = 41,763.15 × 8,119.92
  4. Step 4: Simplify right side
    27,847.56x = 339,113,436.95
  5. Step 5: Solve for x
    x = 339,113,436.95/27,847.56
  6. Step 6: Final answer
    x = 12,177.49

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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.