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Finding the Fourth Proportional to 33,428.32, 50,142.09 and 8,127.98

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Solution

The fourth proportional to 33,428.32, 50,142.09 and 8,127.98 is: 12,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,428.32 : 50,142.09 = 8,127.98 : x
  2. Step 2: Convert to fraction form
    33,428.32/50,142.09 = 8,127.98/x
  3. Step 3: Cross multiply
    33,428.32x = 50,142.09 × 8,127.98
  4. Step 4: Simplify right side
    33,428.32x = 407,553,866.79
  5. Step 5: Solve for x
    x = 407,553,866.79/33,428.32
  6. Step 6: Final answer
    x = 12,191.87

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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.