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Finding the Fourth Proportional to 101,921.56, 152,942.46 and 38,794.82

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Solution

The fourth proportional to 101,921.56, 152,942.46 and 38,794.82 is: 58,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,921.56 : 152,942.46 = 38,794.82 : x
  2. Step 2: Convert to fraction form
    101,921.56/152,942.46 = 38,794.82/x
  3. Step 3: Cross multiply
    101,921.56x = 152,942.46 × 38,794.82
  4. Step 4: Simplify right side
    101,921.56x = 5,933,375,206.06
  5. Step 5: Solve for x
    x = 5,933,375,206.06/101,921.56
  6. Step 6: Final answer
    x = 58,215.11

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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.