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Finding the Fourth Proportional to 50,539.80, 69,745.32 and 27,879.60

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Solution

The fourth proportional to 50,539.80, 69,745.32 and 27,879.60 is: 38,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,539.80 : 69,745.32 = 27,879.60 : x
  2. Step 2: Convert to fraction form
    50,539.80/69,745.32 = 27,879.60/x
  3. Step 3: Cross multiply
    50,539.80x = 69,745.32 × 27,879.60
  4. Step 4: Simplify right side
    50,539.80x = 1,944,471,623.47
  5. Step 5: Solve for x
    x = 1,944,471,623.47/50,539.80
  6. Step 6: Final answer
    x = 38,474.07

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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.