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Finding the Fourth Proportional to 126,568.91, 189,825.21 and 36,591.97

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Solution

The fourth proportional to 126,568.91, 189,825.21 and 36,591.97 is: 54,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,568.91 : 189,825.21 = 36,591.97 : x
  2. Step 2: Convert to fraction form
    126,568.91/189,825.21 = 36,591.97/x
  3. Step 3: Cross multiply
    126,568.91x = 189,825.21 × 36,591.97
  4. Step 4: Simplify right side
    126,568.91x = 6,946,078,389.56
  5. Step 5: Solve for x
    x = 6,946,078,389.56/126,568.91
  6. Step 6: Final answer
    x = 54,879.82

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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.