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Finding the Fourth Proportional to 110,675.88, 166,014.96 and 31,789.92

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Solution

The fourth proportional to 110,675.88, 166,014.96 and 31,789.92 is: 47,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,675.88 : 166,014.96 = 31,789.92 : x
  2. Step 2: Convert to fraction form
    110,675.88/166,014.96 = 31,789.92/x
  3. Step 3: Cross multiply
    110,675.88x = 166,014.96 × 31,789.92
  4. Step 4: Simplify right side
    110,675.88x = 5,277,602,297.20
  5. Step 5: Solve for x
    x = 5,277,602,297.20/110,675.88
  6. Step 6: Final answer
    x = 47,685.21

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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.