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Finding the Fourth Proportional to 50,342.31, 69,472.65 and 27,682.77

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Solution

The fourth proportional to 50,342.31, 69,472.65 and 27,682.77 is: 38,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,342.31 : 69,472.65 = 27,682.77 : x
  2. Step 2: Convert to fraction form
    50,342.31/69,472.65 = 27,682.77/x
  3. Step 3: Cross multiply
    50,342.31x = 69,472.65 × 27,682.77
  4. Step 4: Simplify right side
    50,342.31x = 1,923,195,391.24
  5. Step 5: Solve for x
    x = 1,923,195,391.24/50,342.31
  6. Step 6: Final answer
    x = 38,202.37

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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.