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Finding the Fourth Proportional to 50,398.53, 69,550.23 and 27,739.80

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Solution

The fourth proportional to 50,398.53, 69,550.23 and 27,739.80 is: 38,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,398.53 : 69,550.23 = 27,739.80 : x
  2. Step 2: Convert to fraction form
    50,398.53/69,550.23 = 27,739.80/x
  3. Step 3: Cross multiply
    50,398.53x = 69,550.23 × 27,739.80
  4. Step 4: Simplify right side
    50,398.53x = 1,929,309,470.15
  5. Step 5: Solve for x
    x = 1,929,309,470.15/50,398.53
  6. Step 6: Final answer
    x = 38,281.07

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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.