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Finding the Fourth Proportional to 100,239.82, 150,377.10 and 33,686.44

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Solution

The fourth proportional to 100,239.82, 150,377.10 and 33,686.44 is: 50,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,239.82 : 150,377.10 = 33,686.44 : x
  2. Step 2: Convert to fraction form
    100,239.82/150,377.10 = 33,686.44/x
  3. Step 3: Cross multiply
    100,239.82x = 150,377.10 × 33,686.44
  4. Step 4: Simplify right side
    100,239.82x = 5,065,669,156.52
  5. Step 5: Solve for x
    x = 5,065,669,156.52/100,239.82
  6. Step 6: Final answer
    x = 50,535.50

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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.