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Finding the Fourth Proportional to 110,367.74, 165,557.08 and 31,493.59

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Solution

The fourth proportional to 110,367.74, 165,557.08 and 31,493.59 is: 47,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,367.74 : 165,557.08 = 31,493.59 : x
  2. Step 2: Convert to fraction form
    110,367.74/165,557.08 = 31,493.59/x
  3. Step 3: Cross multiply
    110,367.74x = 165,557.08 × 31,493.59
  4. Step 4: Simplify right side
    110,367.74x = 5,213,986,799.12
  5. Step 5: Solve for x
    x = 5,213,986,799.12/110,367.74
  6. Step 6: Final answer
    x = 47,241.95

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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.