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Finding the Fourth Proportional to 50,201.28, 69,349.84 and 40,116.48

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Solution

The fourth proportional to 50,201.28, 69,349.84 and 40,116.48 is: 55,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,201.28 : 69,349.84 = 40,116.48 : x
  2. Step 2: Convert to fraction form
    50,201.28/69,349.84 = 40,116.48/x
  3. Step 3: Cross multiply
    50,201.28x = 69,349.84 × 40,116.48
  4. Step 4: Simplify right side
    50,201.28x = 2,782,071,469.36
  5. Step 5: Solve for x
    x = 2,782,071,469.36/50,201.28
  6. Step 6: Final answer
    x = 55,418.34

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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.