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Finding the Fourth Proportional to 45,081.84, 67,618.80 and 13,914

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Solution

The fourth proportional to 45,081.84, 67,618.80 and 13,914 is: 20,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,081.84 : 67,618.80 = 13,914 : x
  2. Step 2: Convert to fraction form
    45,081.84/67,618.80 = 13,914/x
  3. Step 3: Cross multiply
    45,081.84x = 67,618.80 × 13,914
  4. Step 4: Simplify right side
    45,081.84x = 940,847,983.20
  5. Step 5: Solve for x
    x = 940,847,983.20/45,081.84
  6. Step 6: Final answer
    x = 20,869.78

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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.