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Finding the Fourth Proportional to 110,687.10, 166,003.65 and 31,793.10

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Solution

The fourth proportional to 110,687.10, 166,003.65 and 31,793.10 is: 47,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,687.10 : 166,003.65 = 31,793.10 : x
  2. Step 2: Convert to fraction form
    110,687.10/166,003.65 = 31,793.10/x
  3. Step 3: Cross multiply
    110,687.10x = 166,003.65 × 31,793.10
  4. Step 4: Simplify right side
    110,687.10x = 5,277,770,644.82
  5. Step 5: Solve for x
    x = 5,277,770,644.82/110,687.10
  6. Step 6: Final answer
    x = 47,681.89

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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.