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Finding the Fourth Proportional to 100,074.57, 150,122.30 and 32,611.86

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Solution

The fourth proportional to 100,074.57, 150,122.30 and 32,611.86 is: 48,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,074.57 : 150,122.30 = 32,611.86 : x
  2. Step 2: Convert to fraction form
    100,074.57/150,122.30 = 32,611.86/x
  3. Step 3: Cross multiply
    100,074.57x = 150,122.30 × 32,611.86
  4. Step 4: Simplify right side
    100,074.57x = 4,895,767,267.42
  5. Step 5: Solve for x
    x = 4,895,767,267.42/100,074.57
  6. Step 6: Final answer
    x = 48,921.19

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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.