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Finding the Fourth Proportional to 33,489.29, 46,190.86 and 22,168.49

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Solution

The fourth proportional to 33,489.29, 46,190.86 and 22,168.49 is: 30,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,489.29 : 46,190.86 = 22,168.49 : x
  2. Step 2: Convert to fraction form
    33,489.29/46,190.86 = 22,168.49/x
  3. Step 3: Cross multiply
    33,489.29x = 46,190.86 × 22,168.49
  4. Step 4: Simplify right side
    33,489.29x = 1,023,981,331.63
  5. Step 5: Solve for x
    x = 1,023,981,331.63/33,489.29
  6. Step 6: Final answer
    x = 30,576.38

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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.