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Finding the Fourth Proportional to 50,517.83, 69,709.19 and 27,855.38

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Solution

The fourth proportional to 50,517.83, 69,709.19 and 27,855.38 is: 38,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,517.83 : 69,709.19 = 27,855.38 : x
  2. Step 2: Convert to fraction form
    50,517.83/69,709.19 = 27,855.38/x
  3. Step 3: Cross multiply
    50,517.83x = 69,709.19 × 27,855.38
  4. Step 4: Simplify right side
    50,517.83x = 1,941,775,489.12
  5. Step 5: Solve for x
    x = 1,941,775,489.12/50,517.83
  6. Step 6: Final answer
    x = 38,437.43

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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.