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Finding the Fourth Proportional to 99,672.60, 149,523.30 and 33,115.80

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Solution

The fourth proportional to 99,672.60, 149,523.30 and 33,115.80 is: 49,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,672.60 : 149,523.30 = 33,115.80 : x
  2. Step 2: Convert to fraction form
    99,672.60/149,523.30 = 33,115.80/x
  3. Step 3: Cross multiply
    99,672.60x = 149,523.30 × 33,115.80
  4. Step 4: Simplify right side
    99,672.60x = 4,951,583,698.14
  5. Step 5: Solve for x
    x = 4,951,583,698.14/99,672.60
  6. Step 6: Final answer
    x = 49,678.48

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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.