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Finding the Fourth Proportional to 49,163.75, 73,745.90 and 12,227.75

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Solution

The fourth proportional to 49,163.75, 73,745.90 and 12,227.75 is: 18,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,163.75 : 73,745.90 = 12,227.75 : x
  2. Step 2: Convert to fraction form
    49,163.75/73,745.90 = 12,227.75/x
  3. Step 3: Cross multiply
    49,163.75x = 73,745.90 × 12,227.75
  4. Step 4: Simplify right side
    49,163.75x = 901,746,428.73
  5. Step 5: Solve for x
    x = 901,746,428.73/49,163.75
  6. Step 6: Final answer
    x = 18,341.69

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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.