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Finding the Fourth Proportional to 36,938.25, 50,975.06 and 20,171.25

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Solution

The fourth proportional to 36,938.25, 50,975.06 and 20,171.25 is: 27,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,938.25 : 50,975.06 = 20,171.25 : x
  2. Step 2: Convert to fraction form
    36,938.25/50,975.06 = 20,171.25/x
  3. Step 3: Cross multiply
    36,938.25x = 50,975.06 × 20,171.25
  4. Step 4: Simplify right side
    36,938.25x = 1,028,230,578.17
  5. Step 5: Solve for x
    x = 1,028,230,578.17/36,938.25
  6. Step 6: Final answer
    x = 27,836.47

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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.