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Finding the Fourth Proportional to 33,196.05, 49,794.03 and 9,820.62

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Solution

The fourth proportional to 33,196.05, 49,794.03 and 9,820.62 is: 14,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196.05 : 49,794.03 = 9,820.62 : x
  2. Step 2: Convert to fraction form
    33,196.05/49,794.03 = 9,820.62/x
  3. Step 3: Cross multiply
    33,196.05x = 49,794.03 × 9,820.62
  4. Step 4: Simplify right side
    33,196.05x = 489,008,246.90
  5. Step 5: Solve for x
    x = 489,008,246.90/33,196.05
  6. Step 6: Final answer
    x = 14,730.92

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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.