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Finding the Fourth Proportional to 45,456.62, 68,184.97 and 13,865

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Solution

The fourth proportional to 45,456.62, 68,184.97 and 13,865 is: 20,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,456.62 : 68,184.97 = 13,865 : x
  2. Step 2: Convert to fraction form
    45,456.62/68,184.97 = 13,865/x
  3. Step 3: Cross multiply
    45,456.62x = 68,184.97 × 13,865
  4. Step 4: Simplify right side
    45,456.62x = 945,384,609.05
  5. Step 5: Solve for x
    x = 945,384,609.05/45,456.62
  6. Step 6: Final answer
    x = 20,797.51

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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.