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Finding the Fourth Proportional to 99,157, 148,759.02 and 33,493

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Solution

The fourth proportional to 99,157, 148,759.02 and 33,493 is: 50,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,157 : 148,759.02 = 33,493 : x
  2. Step 2: Convert to fraction form
    99,157/148,759.02 = 33,493/x
  3. Step 3: Cross multiply
    99,157x = 148,759.02 × 33,493
  4. Step 4: Simplify right side
    99,157x = 4,982,385,856.86
  5. Step 5: Solve for x
    x = 4,982,385,856.86/99,157
  6. Step 6: Final answer
    x = 50,247.44

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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.