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Finding the Fourth Proportional to 111,542.39, 167,301.34 and 32,657.39

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Solution

The fourth proportional to 111,542.39, 167,301.34 and 32,657.39 is: 48,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,542.39 : 167,301.34 = 32,657.39 : x
  2. Step 2: Convert to fraction form
    111,542.39/167,301.34 = 32,657.39/x
  3. Step 3: Cross multiply
    111,542.39x = 167,301.34 × 32,657.39
  4. Step 4: Simplify right side
    111,542.39x = 5,463,625,107.90
  5. Step 5: Solve for x
    x = 5,463,625,107.90/111,542.39
  6. Step 6: Final answer
    x = 48,982.50

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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.