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Finding the Fourth Proportional to 49,099.50, 73,649.25 and 12,163.50

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Solution

The fourth proportional to 49,099.50, 73,649.25 and 12,163.50 is: 18,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,099.50 : 73,649.25 = 12,163.50 : x
  2. Step 2: Convert to fraction form
    49,099.50/73,649.25 = 12,163.50/x
  3. Step 3: Cross multiply
    49,099.50x = 73,649.25 × 12,163.50
  4. Step 4: Simplify right side
    49,099.50x = 895,832,652.38
  5. Step 5: Solve for x
    x = 895,832,652.38/49,099.50
  6. Step 6: Final answer
    x = 18,245.25

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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.