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Finding the Fourth Proportional to 36,938.84, 50,975.54 and 20,171.84

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Solution

The fourth proportional to 36,938.84, 50,975.54 and 20,171.84 is: 27,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,938.84 : 50,975.54 = 20,171.84 : x
  2. Step 2: Convert to fraction form
    36,938.84/50,975.54 = 20,171.84/x
  3. Step 3: Cross multiply
    36,938.84x = 50,975.54 × 20,171.84
  4. Step 4: Simplify right side
    36,938.84x = 1,028,270,436.79
  5. Step 5: Solve for x
    x = 1,028,270,436.79/36,938.84
  6. Step 6: Final answer
    x = 27,837.11

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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.