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Finding the Fourth Proportional to 33,193.92, 49,791.04 and 9,820.56

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Solution

The fourth proportional to 33,193.92, 49,791.04 and 9,820.56 is: 14,730.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,193.92 : 49,791.04 = 9,820.56 : x
  2. Step 2: Convert to fraction form
    33,193.92/49,791.04 = 9,820.56/x
  3. Step 3: Cross multiply
    33,193.92x = 49,791.04 × 9,820.56
  4. Step 4: Simplify right side
    33,193.92x = 488,975,895.78
  5. Step 5: Solve for x
    x = 488,975,895.78/33,193.92
  6. Step 6: Final answer
    x = 14,730.89

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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.