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Finding the Fourth Proportional to 69,843.98, 104,794.02 and 31,911.23

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Solution

The fourth proportional to 69,843.98, 104,794.02 and 31,911.23 is: 47,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,843.98 : 104,794.02 = 31,911.23 : x
  2. Step 2: Convert to fraction form
    69,843.98/104,794.02 = 31,911.23/x
  3. Step 3: Cross multiply
    69,843.98x = 104,794.02 × 31,911.23
  4. Step 4: Simplify right side
    69,843.98x = 3,344,105,550.87
  5. Step 5: Solve for x
    x = 3,344,105,550.87/69,843.98
  6. Step 6: Final answer
    x = 47,879.66

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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.