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Finding the Fourth Proportional to 50,530.80, 69,732.44 and 27,871.24

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Solution

The fourth proportional to 50,530.80, 69,732.44 and 27,871.24 is: 38,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,530.80 : 69,732.44 = 27,871.24 : x
  2. Step 2: Convert to fraction form
    50,530.80/69,732.44 = 27,871.24/x
  3. Step 3: Cross multiply
    50,530.80x = 69,732.44 × 27,871.24
  4. Step 4: Simplify right side
    50,530.80x = 1,943,529,571.03
  5. Step 5: Solve for x
    x = 1,943,529,571.03/50,530.80
  6. Step 6: Final answer
    x = 38,462.28

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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.