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Finding the Fourth Proportional to 50,241.98, 69,334.82 and 27,583.10

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Solution

The fourth proportional to 50,241.98, 69,334.82 and 27,583.10 is: 38,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,241.98 : 69,334.82 = 27,583.10 : x
  2. Step 2: Convert to fraction form
    50,241.98/69,334.82 = 27,583.10/x
  3. Step 3: Cross multiply
    50,241.98x = 69,334.82 × 27,583.10
  4. Step 4: Simplify right side
    50,241.98x = 1,912,469,273.54
  5. Step 5: Solve for x
    x = 1,912,469,273.54/50,241.98
  6. Step 6: Final answer
    x = 38,065.17

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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.