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Finding the Fourth Proportional to 33,096.89, 49,654.62 and 13,389.30

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Solution

The fourth proportional to 33,096.89, 49,654.62 and 13,389.30 is: 20,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096.89 : 49,654.62 = 13,389.30 : x
  2. Step 2: Convert to fraction form
    33,096.89/49,654.62 = 13,389.30/x
  3. Step 3: Cross multiply
    33,096.89x = 49,654.62 × 13,389.30
  4. Step 4: Simplify right side
    33,096.89x = 664,840,603.57
  5. Step 5: Solve for x
    x = 664,840,603.57/33,096.89
  6. Step 6: Final answer
    x = 20,087.70

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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.