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Finding the Fourth Proportional to 27,718.50, 41,578.11 and 9,250.50

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Solution

The fourth proportional to 27,718.50, 41,578.11 and 9,250.50 is: 13,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718.50 : 41,578.11 = 9,250.50 : x
  2. Step 2: Convert to fraction form
    27,718.50/41,578.11 = 9,250.50/x
  3. Step 3: Cross multiply
    27,718.50x = 41,578.11 × 9,250.50
  4. Step 4: Simplify right side
    27,718.50x = 384,618,306.56
  5. Step 5: Solve for x
    x = 384,618,306.56/27,718.50
  6. Step 6: Final answer
    x = 13,875.87

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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.