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Finding the Fourth Proportional to 84,635.26, 126,842.92 and 34,658.66

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Solution

The fourth proportional to 84,635.26, 126,842.92 and 34,658.66 is: 51,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,635.26 : 126,842.92 = 34,658.66 : x
  2. Step 2: Convert to fraction form
    84,635.26/126,842.92 = 34,658.66/x
  3. Step 3: Cross multiply
    84,635.26x = 126,842.92 × 34,658.66
  4. Step 4: Simplify right side
    84,635.26x = 4,396,205,637.69
  5. Step 5: Solve for x
    x = 4,396,205,637.69/84,635.26
  6. Step 6: Final answer
    x = 51,942.96

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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.