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Finding the Fourth Proportional to 110,690.33, 166,017.67 and 31,786.61

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Solution

The fourth proportional to 110,690.33, 166,017.67 and 31,786.61 is: 47,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,690.33 : 166,017.67 = 31,786.61 : x
  2. Step 2: Convert to fraction form
    110,690.33/166,017.67 = 31,786.61/x
  3. Step 3: Cross multiply
    110,690.33x = 166,017.67 × 31,786.61
  4. Step 4: Simplify right side
    110,690.33x = 5,277,138,019.84
  5. Step 5: Solve for x
    x = 5,277,138,019.84/110,690.33
  6. Step 6: Final answer
    x = 47,674.79

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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.