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Finding the Fourth Proportional to 100,122.82, 150,185.77 and 32,654.56

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Solution

The fourth proportional to 100,122.82, 150,185.77 and 32,654.56 is: 48,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,122.82 : 150,185.77 = 32,654.56 : x
  2. Step 2: Convert to fraction form
    100,122.82/150,185.77 = 32,654.56/x
  3. Step 3: Cross multiply
    100,122.82x = 150,185.77 × 32,654.56
  4. Step 4: Simplify right side
    100,122.82x = 4,904,249,823.62
  5. Step 5: Solve for x
    x = 4,904,249,823.62/100,122.82
  6. Step 6: Final answer
    x = 48,982.34

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1.5x scale

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.