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Finding the Fourth Proportional to 33,190.26, 49,784.76 and 8,230.38

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Solution

The fourth proportional to 33,190.26, 49,784.76 and 8,230.38 is: 12,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,190.26 : 49,784.76 = 8,230.38 : x
  2. Step 2: Convert to fraction form
    33,190.26/49,784.76 = 8,230.38/x
  3. Step 3: Cross multiply
    33,190.26x = 49,784.76 × 8,230.38
  4. Step 4: Simplify right side
    33,190.26x = 409,747,493.01
  5. Step 5: Solve for x
    x = 409,747,493.01/33,190.26
  6. Step 6: Final answer
    x = 12,345.41

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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.