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Finding the Fourth Proportional to 33,747, 50,623.02 and 12,970.68

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Solution

The fourth proportional to 33,747, 50,623.02 and 12,970.68 is: 19,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,747 : 50,623.02 = 12,970.68 : x
  2. Step 2: Convert to fraction form
    33,747/50,623.02 = 12,970.68/x
  3. Step 3: Cross multiply
    33,747x = 50,623.02 × 12,970.68
  4. Step 4: Simplify right side
    33,747x = 656,614,993.05
  5. Step 5: Solve for x
    x = 656,614,993.05/33,747
  6. Step 6: Final answer
    x = 19,456.99

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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.