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Finding the Fourth Proportional to 27,839.14, 41,754.26 and 8,113.08

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Solution

The fourth proportional to 27,839.14, 41,754.26 and 8,113.08 is: 12,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,839.14 : 41,754.26 = 8,113.08 : x
  2. Step 2: Convert to fraction form
    27,839.14/41,754.26 = 8,113.08/x
  3. Step 3: Cross multiply
    27,839.14x = 41,754.26 × 8,113.08
  4. Step 4: Simplify right side
    27,839.14x = 338,755,611.16
  5. Step 5: Solve for x
    x = 338,755,611.16/27,839.14
  6. Step 6: Final answer
    x = 12,168.32

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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.