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Finding the Fourth Proportional to 36,865.88, 55,299.02 and 9,163.88

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Solution

The fourth proportional to 36,865.88, 55,299.02 and 9,163.88 is: 13,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,865.88 : 55,299.02 = 9,163.88 : x
  2. Step 2: Convert to fraction form
    36,865.88/55,299.02 = 9,163.88/x
  3. Step 3: Cross multiply
    36,865.88x = 55,299.02 × 9,163.88
  4. Step 4: Simplify right side
    36,865.88x = 506,753,261.08
  5. Step 5: Solve for x
    x = 506,753,261.08/36,865.88
  6. Step 6: Final answer
    x = 13,745.86

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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.