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Finding the Fourth Proportional to 50,857.20, 76,231.80 and 24,544.80

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Solution

The fourth proportional to 50,857.20, 76,231.80 and 24,544.80 is: 36,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,857.20 : 76,231.80 = 24,544.80 : x
  2. Step 2: Convert to fraction form
    50,857.20/76,231.80 = 24,544.80/x
  3. Step 3: Cross multiply
    50,857.20x = 76,231.80 × 24,544.80
  4. Step 4: Simplify right side
    50,857.20x = 1,871,094,284.64
  5. Step 5: Solve for x
    x = 1,871,094,284.64/50,857.20
  6. Step 6: Final answer
    x = 36,791.14

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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.