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Finding the Fourth Proportional to 33,198.30, 49,815.67 and 15,667.67

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Solution

The fourth proportional to 33,198.30, 49,815.67 and 15,667.67 is: 23,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198.30 : 49,815.67 = 15,667.67 : x
  2. Step 2: Convert to fraction form
    33,198.30/49,815.67 = 15,667.67/x
  3. Step 3: Cross multiply
    33,198.30x = 49,815.67 × 15,667.67
  4. Step 4: Simplify right side
    33,198.30x = 780,495,478.39
  5. Step 5: Solve for x
    x = 780,495,478.39/33,198.30
  6. Step 6: Final answer
    x = 23,510.10

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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.