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Finding the Fourth Proportional to 50,591.86, 69,816.74 and 27,930.83

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Solution

The fourth proportional to 50,591.86, 69,816.74 and 27,930.83 is: 38,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,591.86 : 69,816.74 = 27,930.83 : x
  2. Step 2: Convert to fraction form
    50,591.86/69,816.74 = 27,930.83/x
  3. Step 3: Cross multiply
    50,591.86x = 69,816.74 × 27,930.83
  4. Step 4: Simplify right side
    50,591.86x = 1,950,039,007.36
  5. Step 5: Solve for x
    x = 1,950,039,007.36/50,591.86
  6. Step 6: Final answer
    x = 38,544.52

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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.