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Finding the Fourth Proportional to 100,514.62, 150,773.10 and 25,634.62

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Solution

The fourth proportional to 100,514.62, 150,773.10 and 25,634.62 is: 38,452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,514.62 : 150,773.10 = 25,634.62 : x
  2. Step 2: Convert to fraction form
    100,514.62/150,773.10 = 25,634.62/x
  3. Step 3: Cross multiply
    100,514.62x = 150,773.10 × 25,634.62
  4. Step 4: Simplify right side
    100,514.62x = 3,865,011,124.72
  5. Step 5: Solve for x
    x = 3,865,011,124.72/100,514.62
  6. Step 6: Final answer
    x = 38,452.23

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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.