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Finding the Fourth Proportional to 100,421.82, 150,633.24 and 33,862.52

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Solution

The fourth proportional to 100,421.82, 150,633.24 and 33,862.52 is: 50,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,421.82 : 150,633.24 = 33,862.52 : x
  2. Step 2: Convert to fraction form
    100,421.82/150,633.24 = 33,862.52/x
  3. Step 3: Cross multiply
    100,421.82x = 150,633.24 × 33,862.52
  4. Step 4: Simplify right side
    100,421.82x = 5,100,821,102.16
  5. Step 5: Solve for x
    x = 5,100,821,102.16/100,421.82
  6. Step 6: Final answer
    x = 50,793.95

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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.