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Finding the Fourth Proportional to 50,843.70, 70,162.44 and 27,873.42

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Solution

The fourth proportional to 50,843.70, 70,162.44 and 27,873.42 is: 38,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,843.70 : 70,162.44 = 27,873.42 : x
  2. Step 2: Convert to fraction form
    50,843.70/70,162.44 = 27,873.42/x
  3. Step 3: Cross multiply
    50,843.70x = 70,162.44 × 27,873.42
  4. Step 4: Simplify right side
    50,843.70x = 1,955,667,158.34
  5. Step 5: Solve for x
    x = 1,955,667,158.34/50,843.70
  6. Step 6: Final answer
    x = 38,464.30

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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.