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Finding the Fourth Proportional to 33,109.85, 49,663.46 and 8,148.69

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Solution

The fourth proportional to 33,109.85, 49,663.46 and 8,148.69 is: 12,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,109.85 : 49,663.46 = 8,148.69 : x
  2. Step 2: Convert to fraction form
    33,109.85/49,663.46 = 8,148.69/x
  3. Step 3: Cross multiply
    33,109.85x = 49,663.46 × 8,148.69
  4. Step 4: Simplify right side
    33,109.85x = 404,692,160.24
  5. Step 5: Solve for x
    x = 404,692,160.24/33,109.85
  6. Step 6: Final answer
    x = 12,222.71

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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.