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Finding the Fourth Proportional to 36,478.50, 50,340.33 and 19,711.50

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Solution

The fourth proportional to 36,478.50, 50,340.33 and 19,711.50 is: 27,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478.50 : 50,340.33 = 19,711.50 : x
  2. Step 2: Convert to fraction form
    36,478.50/50,340.33 = 19,711.50/x
  3. Step 3: Cross multiply
    36,478.50x = 50,340.33 × 19,711.50
  4. Step 4: Simplify right side
    36,478.50x = 992,283,414.80
  5. Step 5: Solve for x
    x = 992,283,414.80/36,478.50
  6. Step 6: Final answer
    x = 27,201.87

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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.