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Finding the Fourth Proportional to 27,948.49, 41,928.89 and 8,228.59

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Solution

The fourth proportional to 27,948.49, 41,928.89 and 8,228.59 is: 12,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948.49 : 41,928.89 = 8,228.59 : x
  2. Step 2: Convert to fraction form
    27,948.49/41,928.89 = 8,228.59/x
  3. Step 3: Cross multiply
    27,948.49x = 41,928.89 × 8,228.59
  4. Step 4: Simplify right side
    27,948.49x = 345,015,545.29
  5. Step 5: Solve for x
    x = 345,015,545.29/27,948.49
  6. Step 6: Final answer
    x = 12,344.69

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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.