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Finding the Fourth Proportional to 27,692.57, 41,549.78 and 10,163.76

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Solution

The fourth proportional to 27,692.57, 41,549.78 and 10,163.76 is: 15,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.57 : 41,549.78 = 10,163.76 : x
  2. Step 2: Convert to fraction form
    27,692.57/41,549.78 = 10,163.76/x
  3. Step 3: Cross multiply
    27,692.57x = 41,549.78 × 10,163.76
  4. Step 4: Simplify right side
    27,692.57x = 422,302,017.38
  5. Step 5: Solve for x
    x = 422,302,017.38/27,692.57
  6. Step 6: Final answer
    x = 15,249.65

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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.