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Finding the Fourth Proportional to 50,854.56, 76,286.76 and 15,784.80

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Solution

The fourth proportional to 50,854.56, 76,286.76 and 15,784.80 is: 23,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,854.56 : 76,286.76 = 15,784.80 : x
  2. Step 2: Convert to fraction form
    50,854.56/76,286.76 = 15,784.80/x
  3. Step 3: Cross multiply
    50,854.56x = 76,286.76 × 15,784.80
  4. Step 4: Simplify right side
    50,854.56x = 1,204,171,249.25
  5. Step 5: Solve for x
    x = 1,204,171,249.25/50,854.56
  6. Step 6: Final answer
    x = 23,678.73

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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.