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Finding the Fourth Proportional to 99,198.54, 148,819.95 and 32,635.98

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Solution

The fourth proportional to 99,198.54, 148,819.95 and 32,635.98 is: 48,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,198.54 : 148,819.95 = 32,635.98 : x
  2. Step 2: Convert to fraction form
    99,198.54/148,819.95 = 32,635.98/x
  3. Step 3: Cross multiply
    99,198.54x = 148,819.95 × 32,635.98
  4. Step 4: Simplify right side
    99,198.54x = 4,856,884,911.80
  5. Step 5: Solve for x
    x = 4,856,884,911.80/99,198.54
  6. Step 6: Final answer
    x = 48,961.25

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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.