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Finding the Fourth Proportional to 33,162.56, 49,743.84 and 25,282.88

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Solution

The fourth proportional to 33,162.56, 49,743.84 and 25,282.88 is: 37,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,162.56 : 49,743.84 = 25,282.88 : x
  2. Step 2: Convert to fraction form
    33,162.56/49,743.84 = 25,282.88/x
  3. Step 3: Cross multiply
    33,162.56x = 49,743.84 × 25,282.88
  4. Step 4: Simplify right side
    33,162.56x = 1,257,667,537.46
  5. Step 5: Solve for x
    x = 1,257,667,537.46/33,162.56
  6. Step 6: Final answer
    x = 37,924.32

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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.