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Finding the Fourth Proportional to 27,950.65, 41,926.02 and 8,229.43

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Solution

The fourth proportional to 27,950.65, 41,926.02 and 8,229.43 is: 12,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950.65 : 41,926.02 = 8,229.43 : x
  2. Step 2: Convert to fraction form
    27,950.65/41,926.02 = 8,229.43/x
  3. Step 3: Cross multiply
    27,950.65x = 41,926.02 × 8,229.43
  4. Step 4: Simplify right side
    27,950.65x = 345,027,246.77
  5. Step 5: Solve for x
    x = 345,027,246.77/27,950.65
  6. Step 6: Final answer
    x = 12,344.16

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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.