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Finding the Fourth Proportional to 33,182.26, 49,772.77 and 8,222.37

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Solution

The fourth proportional to 33,182.26, 49,772.77 and 8,222.37 is: 12,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.26 : 49,772.77 = 8,222.37 : x
  2. Step 2: Convert to fraction form
    33,182.26/49,772.77 = 8,222.37/x
  3. Step 3: Cross multiply
    33,182.26x = 49,772.77 × 8,222.37
  4. Step 4: Simplify right side
    33,182.26x = 409,250,130.86
  5. Step 5: Solve for x
    x = 409,250,130.86/33,182.26
  6. Step 6: Final answer
    x = 12,333.40

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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.