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Finding the Fourth Proportional to 111,122.91, 166,709.88 and 32,243.49

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Solution

The fourth proportional to 111,122.91, 166,709.88 and 32,243.49 is: 48,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,122.91 : 166,709.88 = 32,243.49 : x
  2. Step 2: Convert to fraction form
    111,122.91/166,709.88 = 32,243.49/x
  3. Step 3: Cross multiply
    111,122.91x = 166,709.88 × 32,243.49
  4. Step 4: Simplify right side
    111,122.91x = 5,375,308,348.68
  5. Step 5: Solve for x
    x = 5,375,308,348.68/111,122.91
  6. Step 6: Final answer
    x = 48,372.64

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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.