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Finding the Fourth Proportional to 36,938.34, 50,974.56 and 20,171.34

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Solution

The fourth proportional to 36,938.34, 50,974.56 and 20,171.34 is: 27,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,938.34 : 50,974.56 = 20,171.34 : x
  2. Step 2: Convert to fraction form
    36,938.34/50,974.56 = 20,171.34/x
  3. Step 3: Cross multiply
    36,938.34x = 50,974.56 × 20,171.34
  4. Step 4: Simplify right side
    36,938.34x = 1,028,225,181.11
  5. Step 5: Solve for x
    x = 1,028,225,181.11/36,938.34
  6. Step 6: Final answer
    x = 27,836.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.