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Finding the Fourth Proportional to 111,962, 167,944.31 and 47,911.48

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Solution

The fourth proportional to 111,962, 167,944.31 and 47,911.48 is: 71,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,962 : 167,944.31 = 47,911.48 : x
  2. Step 2: Convert to fraction form
    111,962/167,944.31 = 47,911.48/x
  3. Step 3: Cross multiply
    111,962x = 167,944.31 × 47,911.48
  4. Step 4: Simplify right side
    111,962x = 8,046,460,449.68
  5. Step 5: Solve for x
    x = 8,046,460,449.68/111,962
  6. Step 6: Final answer
    x = 71,867.78

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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.