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Finding the Fourth Proportional to 110,850.90, 166,300.92 and 31,958.97

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Solution

The fourth proportional to 110,850.90, 166,300.92 and 31,958.97 is: 47,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,850.90 : 166,300.92 = 31,958.97 : x
  2. Step 2: Convert to fraction form
    110,850.90/166,300.92 = 31,958.97/x
  3. Step 3: Cross multiply
    110,850.90x = 166,300.92 × 31,958.97
  4. Step 4: Simplify right side
    110,850.90x = 5,314,806,113.25
  5. Step 5: Solve for x
    x = 5,314,806,113.25/110,850.90
  6. Step 6: Final answer
    x = 47,945.54

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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.