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Finding the Fourth Proportional to 49,198.50, 73,798.02 and 12,262.50

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Solution

The fourth proportional to 49,198.50, 73,798.02 and 12,262.50 is: 18,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,198.50 : 73,798.02 = 12,262.50 : x
  2. Step 2: Convert to fraction form
    49,198.50/73,798.02 = 12,262.50/x
  3. Step 3: Cross multiply
    49,198.50x = 73,798.02 × 12,262.50
  4. Step 4: Simplify right side
    49,198.50x = 904,948,220.25
  5. Step 5: Solve for x
    x = 904,948,220.25/49,198.50
  6. Step 6: Final answer
    x = 18,393.82

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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.