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Finding the Fourth Proportional to 45,049.16, 67,568.94 and 13,881

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Solution

The fourth proportional to 45,049.16, 67,568.94 and 13,881 is: 20,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,049.16 : 67,568.94 = 13,881 : x
  2. Step 2: Convert to fraction form
    45,049.16/67,568.94 = 13,881/x
  3. Step 3: Cross multiply
    45,049.16x = 67,568.94 × 13,881
  4. Step 4: Simplify right side
    45,049.16x = 937,924,456.14
  5. Step 5: Solve for x
    x = 937,924,456.14/45,049.16
  6. Step 6: Final answer
    x = 20,820.02

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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.