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Finding the Fourth Proportional to 71,982.25, 108,012.26 and 35,046.25

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Solution

The fourth proportional to 71,982.25, 108,012.26 and 35,046.25 is: 52,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,982.25 : 108,012.26 = 35,046.25 : x
  2. Step 2: Convert to fraction form
    71,982.25/108,012.26 = 35,046.25/x
  3. Step 3: Cross multiply
    71,982.25x = 108,012.26 × 35,046.25
  4. Step 4: Simplify right side
    71,982.25x = 3,785,424,667.03
  5. Step 5: Solve for x
    x = 3,785,424,667.03/71,982.25
  6. Step 6: Final answer
    x = 52,588.31

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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.