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Finding the Fourth Proportional to 33,744, 50,618.52 and 12,967.68

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Solution

The fourth proportional to 33,744, 50,618.52 and 12,967.68 is: 19,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,744 : 50,618.52 = 12,967.68 : x
  2. Step 2: Convert to fraction form
    33,744/50,618.52 = 12,967.68/x
  3. Step 3: Cross multiply
    33,744x = 50,618.52 × 12,967.68
  4. Step 4: Simplify right side
    33,744x = 656,404,769.43
  5. Step 5: Solve for x
    x = 656,404,769.43/33,744
  6. Step 6: Final answer
    x = 19,452.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.