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Finding the Fourth Proportional to 50,574.31, 69,796.83 and 27,918.16

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Solution

The fourth proportional to 50,574.31, 69,796.83 and 27,918.16 is: 38,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,574.31 : 69,796.83 = 27,918.16 : x
  2. Step 2: Convert to fraction form
    50,574.31/69,796.83 = 27,918.16/x
  3. Step 3: Cross multiply
    50,574.31x = 69,796.83 × 27,918.16
  4. Step 4: Simplify right side
    50,574.31x = 1,948,599,067.43
  5. Step 5: Solve for x
    x = 1,948,599,067.43/50,574.31
  6. Step 6: Final answer
    x = 38,529.42

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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.