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Finding the Fourth Proportional to 111,842.16, 167,792.28 and 41,722

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Solution

The fourth proportional to 111,842.16, 167,792.28 and 41,722 is: 62,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,842.16 : 167,792.28 = 41,722 : x
  2. Step 2: Convert to fraction form
    111,842.16/167,792.28 = 41,722/x
  3. Step 3: Cross multiply
    111,842.16x = 167,792.28 × 41,722
  4. Step 4: Simplify right side
    111,842.16x = 7,000,629,506.16
  5. Step 5: Solve for x
    x = 7,000,629,506.16/111,842.16
  6. Step 6: Final answer
    x = 62,593.83

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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.