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Finding the Fourth Proportional to 33,891.74, 50,743.71 and 25,546.46

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Solution

The fourth proportional to 33,891.74, 50,743.71 and 25,546.46 is: 38,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,891.74 : 50,743.71 = 25,546.46 : x
  2. Step 2: Convert to fraction form
    33,891.74/50,743.71 = 25,546.46/x
  3. Step 3: Cross multiply
    33,891.74x = 50,743.71 × 25,546.46
  4. Step 4: Simplify right side
    33,891.74x = 1,296,322,157.77
  5. Step 5: Solve for x
    x = 1,296,322,157.77/33,891.74
  6. Step 6: Final answer
    x = 38,248.91

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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.