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Finding the Fourth Proportional to 99,493.20, 149,200.20 and 32,914.80

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Solution

The fourth proportional to 99,493.20, 149,200.20 and 32,914.80 is: 49,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,493.20 : 149,200.20 = 32,914.80 : x
  2. Step 2: Convert to fraction form
    99,493.20/149,200.20 = 32,914.80/x
  3. Step 3: Cross multiply
    99,493.20x = 149,200.20 × 32,914.80
  4. Step 4: Simplify right side
    99,493.20x = 4,910,894,742.96
  5. Step 5: Solve for x
    x = 4,910,894,742.96/99,493.20
  6. Step 6: Final answer
    x = 49,359.10

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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.