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Finding the Fourth Proportional to 50,340.31, 69,471.41 and 27,681.02

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Solution

The fourth proportional to 50,340.31, 69,471.41 and 27,681.02 is: 38,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,340.31 : 69,471.41 = 27,681.02 : x
  2. Step 2: Convert to fraction form
    50,340.31/69,471.41 = 27,681.02/x
  3. Step 3: Cross multiply
    50,340.31x = 69,471.41 × 27,681.02
  4. Step 4: Simplify right side
    50,340.31x = 1,923,039,351.23
  5. Step 5: Solve for x
    x = 1,923,039,351.23/50,340.31
  6. Step 6: Final answer
    x = 38,200.79

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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.