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Finding the Fourth Proportional to 51,982.41, 71,735.62 and 29,321.33

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Solution

The fourth proportional to 51,982.41, 71,735.62 and 29,321.33 is: 40,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982.41 : 71,735.62 = 29,321.33 : x
  2. Step 2: Convert to fraction form
    51,982.41/71,735.62 = 29,321.33/x
  3. Step 3: Cross multiply
    51,982.41x = 71,735.62 × 29,321.33
  4. Step 4: Simplify right side
    51,982.41x = 2,103,383,786.77
  5. Step 5: Solve for x
    x = 2,103,383,786.77/51,982.41
  6. Step 6: Final answer
    x = 40,463.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.