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Finding the Fourth Proportional to 50,458.52, 75,687.80 and 20,843.80

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Solution

The fourth proportional to 50,458.52, 75,687.80 and 20,843.80 is: 31,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,458.52 : 75,687.80 = 20,843.80 : x
  2. Step 2: Convert to fraction form
    50,458.52/75,687.80 = 20,843.80/x
  3. Step 3: Cross multiply
    50,458.52x = 75,687.80 × 20,843.80
  4. Step 4: Simplify right side
    50,458.52x = 1,577,621,365.64
  5. Step 5: Solve for x
    x = 1,577,621,365.64/50,458.52
  6. Step 6: Final answer
    x = 31,265.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.