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Finding the Fourth Proportional to 36,784.36, 50,723.94 and 24,193

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Solution

The fourth proportional to 36,784.36, 50,723.94 and 24,193 is: 33,361.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784.36 : 50,723.94 = 24,193 : x
  2. Step 2: Convert to fraction form
    36,784.36/50,723.94 = 24,193/x
  3. Step 3: Cross multiply
    36,784.36x = 50,723.94 × 24,193
  4. Step 4: Simplify right side
    36,784.36x = 1,227,164,280.42
  5. Step 5: Solve for x
    x = 1,227,164,280.42/36,784.36
  6. Step 6: Final answer
    x = 33,361.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.