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Finding the Fourth Proportional to 110,790, 166,046.36 and 47,535.48

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Solution

The fourth proportional to 110,790, 166,046.36 and 47,535.48 is: 71,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,790 : 166,046.36 = 47,535.48 : x
  2. Step 2: Convert to fraction form
    110,790/166,046.36 = 47,535.48/x
  3. Step 3: Cross multiply
    110,790x = 166,046.36 × 47,535.48
  4. Step 4: Simplify right side
    110,790x = 7,893,093,187.18
  5. Step 5: Solve for x
    x = 7,893,093,187.18/110,790
  6. Step 6: Final answer
    x = 71,243.73

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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.