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Finding the Fourth Proportional to 110,851.90, 166,302.42 and 31,959.97

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Solution

The fourth proportional to 110,851.90, 166,302.42 and 31,959.97 is: 47,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,851.90 : 166,302.42 = 31,959.97 : x
  2. Step 2: Convert to fraction form
    110,851.90/166,302.42 = 31,959.97/x
  3. Step 3: Cross multiply
    110,851.90x = 166,302.42 × 31,959.97
  4. Step 4: Simplify right side
    110,851.90x = 5,315,020,354.13
  5. Step 5: Solve for x
    x = 5,315,020,354.13/110,851.90
  6. Step 6: Final answer
    x = 47,947.04

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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.