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Finding the Fourth Proportional to 49,163.86, 73,745.70 and 12,227.86

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Solution

The fourth proportional to 49,163.86, 73,745.70 and 12,227.86 is: 18,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,163.86 : 73,745.70 = 12,227.86 : x
  2. Step 2: Convert to fraction form
    49,163.86/73,745.70 = 12,227.86/x
  3. Step 3: Cross multiply
    49,163.86x = 73,745.70 × 12,227.86
  4. Step 4: Simplify right side
    49,163.86x = 901,752,095.20
  5. Step 5: Solve for x
    x = 901,752,095.20/49,163.86
  6. Step 6: Final answer
    x = 18,341.77

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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.