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Finding the Fourth Proportional to 33,067.46, 45,633.24 and 17,960.24

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Solution

The fourth proportional to 33,067.46, 45,633.24 and 17,960.24 is: 24,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,067.46 : 45,633.24 = 17,960.24 : x
  2. Step 2: Convert to fraction form
    33,067.46/45,633.24 = 17,960.24/x
  3. Step 3: Cross multiply
    33,067.46x = 45,633.24 × 17,960.24
  4. Step 4: Simplify right side
    33,067.46x = 819,583,942.38
  5. Step 5: Solve for x
    x = 819,583,942.38/33,067.46
  6. Step 6: Final answer
    x = 24,785.21

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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.