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Finding the Fourth Proportional to 84,162.32, 126,134.37 and 34,183.88

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Solution

The fourth proportional to 84,162.32, 126,134.37 and 34,183.88 is: 51,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,162.32 : 126,134.37 = 34,183.88 : x
  2. Step 2: Convert to fraction form
    84,162.32/126,134.37 = 34,183.88/x
  3. Step 3: Cross multiply
    84,162.32x = 126,134.37 × 34,183.88
  4. Step 4: Simplify right side
    84,162.32x = 4,311,761,537.28
  5. Step 5: Solve for x
    x = 4,311,761,537.28/84,162.32
  6. Step 6: Final answer
    x = 51,231.50

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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.