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Finding the Fourth Proportional to 126,594.40, 189,902.44 and 33,100

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Solution

The fourth proportional to 126,594.40, 189,902.44 and 33,100 is: 49,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,594.40 : 189,902.44 = 33,100 : x
  2. Step 2: Convert to fraction form
    126,594.40/189,902.44 = 33,100/x
  3. Step 3: Cross multiply
    126,594.40x = 189,902.44 × 33,100
  4. Step 4: Simplify right side
    126,594.40x = 6,285,770,764
  5. Step 5: Solve for x
    x = 6,285,770,764/126,594.40
  6. Step 6: Final answer
    x = 49,652.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.