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Finding the Fourth Proportional to 111,432.54, 167,173.42 and 41,311.85

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Solution

The fourth proportional to 111,432.54, 167,173.42 and 41,311.85 is: 61,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,432.54 : 167,173.42 = 41,311.85 : x
  2. Step 2: Convert to fraction form
    111,432.54/167,173.42 = 41,311.85/x
  3. Step 3: Cross multiply
    111,432.54x = 167,173.42 × 41,311.85
  4. Step 4: Simplify right side
    111,432.54x = 6,906,243,565.68
  5. Step 5: Solve for x
    x = 6,906,243,565.68/111,432.54
  6. Step 6: Final answer
    x = 61,976.90

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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.