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Finding the Fourth Proportional to 27,982.03, 41,967.57 and 8,255.29

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Solution

The fourth proportional to 27,982.03, 41,967.57 and 8,255.29 is: 12,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.03 : 41,967.57 = 8,255.29 : x
  2. Step 2: Convert to fraction form
    27,982.03/41,967.57 = 8,255.29/x
  3. Step 3: Cross multiply
    27,982.03x = 41,967.57 × 8,255.29
  4. Step 4: Simplify right side
    27,982.03x = 346,454,460.95
  5. Step 5: Solve for x
    x = 346,454,460.95/27,982.03
  6. Step 6: Final answer
    x = 12,381.32

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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.