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Finding the Fourth Proportional to 33,076.70, 45,645.90 and 17,969.42

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Solution

The fourth proportional to 33,076.70, 45,645.90 and 17,969.42 is: 24,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,076.70 : 45,645.90 = 17,969.42 : x
  2. Step 2: Convert to fraction form
    33,076.70/45,645.90 = 17,969.42/x
  3. Step 3: Cross multiply
    33,076.70x = 45,645.90 × 17,969.42
  4. Step 4: Simplify right side
    33,076.70x = 820,230,348.38
  5. Step 5: Solve for x
    x = 820,230,348.38/33,076.70
  6. Step 6: Final answer
    x = 24,797.83

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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.