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Finding the Fourth Proportional to 33,190.38, 45,847.49 and 30,828.42

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Solution

The fourth proportional to 33,190.38, 45,847.49 and 30,828.42 is: 42,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,190.38 : 45,847.49 = 30,828.42 : x
  2. Step 2: Convert to fraction form
    33,190.38/45,847.49 = 30,828.42/x
  3. Step 3: Cross multiply
    33,190.38x = 45,847.49 × 30,828.42
  4. Step 4: Simplify right side
    33,190.38x = 1,413,405,523.52
  5. Step 5: Solve for x
    x = 1,413,405,523.52/33,190.38
  6. Step 6: Final answer
    x = 42,584.79

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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.