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Finding the Fourth Proportional to 99,847.80, 149,793.30 and 29,734.20

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Solution

The fourth proportional to 99,847.80, 149,793.30 and 29,734.20 is: 44,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,847.80 : 149,793.30 = 29,734.20 : x
  2. Step 2: Convert to fraction form
    99,847.80/149,793.30 = 29,734.20/x
  3. Step 3: Cross multiply
    99,847.80x = 149,793.30 × 29,734.20
  4. Step 4: Simplify right side
    99,847.80x = 4,453,983,940.86
  5. Step 5: Solve for x
    x = 4,453,983,940.86/99,847.80
  6. Step 6: Final answer
    x = 44,607.73

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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.