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Finding the Fourth Proportional to 69,596.80, 104,408.26 and 31,648.82

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Solution

The fourth proportional to 69,596.80, 104,408.26 and 31,648.82 is: 47,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,596.80 : 104,408.26 = 31,648.82 : x
  2. Step 2: Convert to fraction form
    69,596.80/104,408.26 = 31,648.82/x
  3. Step 3: Cross multiply
    69,596.80x = 104,408.26 × 31,648.82
  4. Step 4: Simplify right side
    69,596.80x = 3,304,397,626.09
  5. Step 5: Solve for x
    x = 3,304,397,626.09/69,596.80
  6. Step 6: Final answer
    x = 47,479.16

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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.