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Finding the Fourth Proportional to 50,142.49, 75,213.13 and 12,191.97

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Solution

The fourth proportional to 50,142.49, 75,213.13 and 12,191.97 is: 18,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,142.49 : 75,213.13 = 12,191.97 : x
  2. Step 2: Convert to fraction form
    50,142.49/75,213.13 = 12,191.97/x
  3. Step 3: Cross multiply
    50,142.49x = 75,213.13 × 12,191.97
  4. Step 4: Simplify right side
    50,142.49x = 916,996,200.27
  5. Step 5: Solve for x
    x = 916,996,200.27/50,142.49
  6. Step 6: Final answer
    x = 18,287.81

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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.