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Finding the Fourth Proportional to 111,947.20, 167,881.68 and 33,040.48

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Solution

The fourth proportional to 111,947.20, 167,881.68 and 33,040.48 is: 49,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,947.20 : 167,881.68 = 33,040.48 : x
  2. Step 2: Convert to fraction form
    111,947.20/167,881.68 = 33,040.48/x
  3. Step 3: Cross multiply
    111,947.20x = 167,881.68 × 33,040.48
  4. Step 4: Simplify right side
    111,947.20x = 5,546,891,290.41
  5. Step 5: Solve for x
    x = 5,546,891,290.41/111,947.20
  6. Step 6: Final answer
    x = 49,549.17

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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.