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Finding the Fourth Proportional to 110,685.72, 166,049.91 and 35,824.44

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Solution

The fourth proportional to 110,685.72, 166,049.91 and 35,824.44 is: 53,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,685.72 : 166,049.91 = 35,824.44 : x
  2. Step 2: Convert to fraction form
    110,685.72/166,049.91 = 35,824.44/x
  3. Step 3: Cross multiply
    110,685.72x = 166,049.91 × 35,824.44
  4. Step 4: Simplify right side
    110,685.72x = 5,948,645,037.80
  5. Step 5: Solve for x
    x = 5,948,645,037.80/110,685.72
  6. Step 6: Final answer
    x = 53,743.56

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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.