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Finding the Fourth Proportional to 36,938.50, 50,975.13 and 20,171.50

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Solution

The fourth proportional to 36,938.50, 50,975.13 and 20,171.50 is: 27,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,938.50 : 50,975.13 = 20,171.50 : x
  2. Step 2: Convert to fraction form
    36,938.50/50,975.13 = 20,171.50/x
  3. Step 3: Cross multiply
    36,938.50x = 50,975.13 × 20,171.50
  4. Step 4: Simplify right side
    36,938.50x = 1,028,244,834.80
  5. Step 5: Solve for x
    x = 1,028,244,834.80/36,938.50
  6. Step 6: Final answer
    x = 27,836.67

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