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Finding the Fourth Proportional to 33,197.24, 45,785.22 and 30,429.78

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Solution

The fourth proportional to 33,197.24, 45,785.22 and 30,429.78 is: 41,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197.24 : 45,785.22 = 30,429.78 : x
  2. Step 2: Convert to fraction form
    33,197.24/45,785.22 = 30,429.78/x
  3. Step 3: Cross multiply
    33,197.24x = 45,785.22 × 30,429.78
  4. Step 4: Simplify right side
    33,197.24x = 1,393,234,171.85
  5. Step 5: Solve for x
    x = 1,393,234,171.85/33,197.24
  6. Step 6: Final answer
    x = 41,968.38

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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.