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Finding the Fourth Proportional to 33,609.38, 46,375.89 and 20,178.50

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Solution

The fourth proportional to 33,609.38, 46,375.89 and 20,178.50 is: 27,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,609.38 : 46,375.89 = 20,178.50 : x
  2. Step 2: Convert to fraction form
    33,609.38/46,375.89 = 20,178.50/x
  3. Step 3: Cross multiply
    33,609.38x = 46,375.89 × 20,178.50
  4. Step 4: Simplify right side
    33,609.38x = 935,795,896.37
  5. Step 5: Solve for x
    x = 935,795,896.37/33,609.38
  6. Step 6: Final answer
    x = 27,843.30

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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.