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Finding the Fourth Proportional to 36,172.70, 49,918.37 and 20,257.14

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Solution

The fourth proportional to 36,172.70, 49,918.37 and 20,257.14 is: 27,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,172.70 : 49,918.37 = 20,257.14 : x
  2. Step 2: Convert to fraction form
    36,172.70/49,918.37 = 20,257.14/x
  3. Step 3: Cross multiply
    36,172.70x = 49,918.37 × 20,257.14
  4. Step 4: Simplify right side
    36,172.70x = 1,011,203,308.38
  5. Step 5: Solve for x
    x = 1,011,203,308.38/36,172.70
  6. Step 6: Final answer
    x = 27,954.88

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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.