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Finding the Fourth Proportional to 50,234.06, 69,323.01 and 27,878.06

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Solution

The fourth proportional to 50,234.06, 69,323.01 and 27,878.06 is: 38,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,234.06 : 69,323.01 = 27,878.06 : x
  2. Step 2: Convert to fraction form
    50,234.06/69,323.01 = 27,878.06/x
  3. Step 3: Cross multiply
    50,234.06x = 69,323.01 × 27,878.06
  4. Step 4: Simplify right side
    50,234.06x = 1,932,591,100.93
  5. Step 5: Solve for x
    x = 1,932,591,100.93/50,234.06
  6. Step 6: Final answer
    x = 38,471.73

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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.