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Finding the Fourth Proportional to 27,934.50, 41,902.16 and 6,874.55

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Solution

The fourth proportional to 27,934.50, 41,902.16 and 6,874.55 is: 10,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.50 : 41,902.16 = 6,874.55 : x
  2. Step 2: Convert to fraction form
    27,934.50/41,902.16 = 6,874.55/x
  3. Step 3: Cross multiply
    27,934.50x = 41,902.16 × 6,874.55
  4. Step 4: Simplify right side
    27,934.50x = 288,058,494.03
  5. Step 5: Solve for x
    x = 288,058,494.03/27,934.50
  6. Step 6: Final answer
    x = 10,311.93

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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.