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Finding the Fourth Proportional to 38,243.50, 52,588.85 and 33,198.90

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Solution

The fourth proportional to 38,243.50, 52,588.85 and 33,198.90 is: 45,651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,243.50 : 52,588.85 = 33,198.90 : x
  2. Step 2: Convert to fraction form
    38,243.50/52,588.85 = 33,198.90/x
  3. Step 3: Cross multiply
    38,243.50x = 52,588.85 × 33,198.90
  4. Step 4: Simplify right side
    38,243.50x = 1,745,891,972.27
  5. Step 5: Solve for x
    x = 1,745,891,972.27/38,243.50
  6. Step 6: Final answer
    x = 45,651.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.