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Finding the Fourth Proportional to 126,553.96, 189,843.90 and 47,734.48

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Solution

The fourth proportional to 126,553.96, 189,843.90 and 47,734.48 is: 71,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,553.96 : 189,843.90 = 47,734.48 : x
  2. Step 2: Convert to fraction form
    126,553.96/189,843.90 = 47,734.48/x
  3. Step 3: Cross multiply
    126,553.96x = 189,843.90 × 47,734.48
  4. Step 4: Simplify right side
    126,553.96x = 9,062,099,847.67
  5. Step 5: Solve for x
    x = 9,062,099,847.67/126,553.96
  6. Step 6: Final answer
    x = 71,606.61

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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.