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Finding the Fourth Proportional to 33,155.72, 49,733.09 and 8,195.77

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Solution

The fourth proportional to 33,155.72, 49,733.09 and 8,195.77 is: 12,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,155.72 : 49,733.09 = 8,195.77 : x
  2. Step 2: Convert to fraction form
    33,155.72/49,733.09 = 8,195.77/x
  3. Step 3: Cross multiply
    33,155.72x = 49,733.09 × 8,195.77
  4. Step 4: Simplify right side
    33,155.72x = 407,600,967.03
  5. Step 5: Solve for x
    x = 407,600,967.03/33,155.72
  6. Step 6: Final answer
    x = 12,293.53

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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.