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Finding the Fourth Proportional to 27,948.80, 41,930.28 and 8,228

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Solution

The fourth proportional to 27,948.80, 41,930.28 and 8,228 is: 12,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948.80 : 41,930.28 = 8,228 : x
  2. Step 2: Convert to fraction form
    27,948.80/41,930.28 = 8,228/x
  3. Step 3: Cross multiply
    27,948.80x = 41,930.28 × 8,228
  4. Step 4: Simplify right side
    27,948.80x = 345,002,343.84
  5. Step 5: Solve for x
    x = 345,002,343.84/27,948.80
  6. Step 6: Final answer
    x = 12,344.08

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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.