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Finding the Fourth Proportional to 50,178.32, 69,249.16 and 27,822.32

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Solution

The fourth proportional to 50,178.32, 69,249.16 and 27,822.32 is: 38,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,178.32 : 69,249.16 = 27,822.32 : x
  2. Step 2: Convert to fraction form
    50,178.32/69,249.16 = 27,822.32/x
  3. Step 3: Cross multiply
    50,178.32x = 69,249.16 × 27,822.32
  4. Step 4: Simplify right side
    50,178.32x = 1,926,672,289.25
  5. Step 5: Solve for x
    x = 1,926,672,289.25/50,178.32
  6. Step 6: Final answer
    x = 38,396.51

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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.