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Finding the Fourth Proportional to 50,213.88, 69,295.50 and 27,857.88

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Solution

The fourth proportional to 50,213.88, 69,295.50 and 27,857.88 is: 38,444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,213.88 : 69,295.50 = 27,857.88 : x
  2. Step 2: Convert to fraction form
    50,213.88/69,295.50 = 27,857.88/x
  3. Step 3: Cross multiply
    50,213.88x = 69,295.50 × 27,857.88
  4. Step 4: Simplify right side
    50,213.88x = 1,930,425,723.54
  5. Step 5: Solve for x
    x = 1,930,425,723.54/50,213.88
  6. Step 6: Final answer
    x = 38,444.07

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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.