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Finding the Fourth Proportional to 50,099.50, 69,137.31 and 27,743.50

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Solution

The fourth proportional to 50,099.50, 69,137.31 and 27,743.50 is: 38,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,099.50 : 69,137.31 = 27,743.50 : x
  2. Step 2: Convert to fraction form
    50,099.50/69,137.31 = 27,743.50/x
  3. Step 3: Cross multiply
    50,099.50x = 69,137.31 × 27,743.50
  4. Step 4: Simplify right side
    50,099.50x = 1,918,110,959.99
  5. Step 5: Solve for x
    x = 1,918,110,959.99/50,099.50
  6. Step 6: Final answer
    x = 38,286.03

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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.