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Finding the Fourth Proportional to 50,504.98, 69,697.34 and 27,844.78

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Solution

The fourth proportional to 50,504.98, 69,697.34 and 27,844.78 is: 38,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,504.98 : 69,697.34 = 27,844.78 : x
  2. Step 2: Convert to fraction form
    50,504.98/69,697.34 = 27,844.78/x
  3. Step 3: Cross multiply
    50,504.98x = 69,697.34 × 27,844.78
  4. Step 4: Simplify right side
    50,504.98x = 1,940,707,098.89
  5. Step 5: Solve for x
    x = 1,940,707,098.89/50,504.98
  6. Step 6: Final answer
    x = 38,426.05

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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.