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Finding the Fourth Proportional to 111,116.28, 166,691.70 and 37,227

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Solution

The fourth proportional to 111,116.28, 166,691.70 and 37,227 is: 55,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,116.28 : 166,691.70 = 37,227 : x
  2. Step 2: Convert to fraction form
    111,116.28/166,691.70 = 37,227/x
  3. Step 3: Cross multiply
    111,116.28x = 166,691.70 × 37,227
  4. Step 4: Simplify right side
    111,116.28x = 6,205,431,915.90
  5. Step 5: Solve for x
    x = 6,205,431,915.90/111,116.28
  6. Step 6: Final answer
    x = 55,846.29

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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.