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Finding the Fourth Proportional to 33,100.45, 49,650.23 and 8,140.71

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Solution

The fourth proportional to 33,100.45, 49,650.23 and 8,140.71 is: 12,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,100.45 : 49,650.23 = 8,140.71 : x
  2. Step 2: Convert to fraction form
    33,100.45/49,650.23 = 8,140.71/x
  3. Step 3: Cross multiply
    33,100.45x = 49,650.23 × 8,140.71
  4. Step 4: Simplify right side
    33,100.45x = 404,187,834.91
  5. Step 5: Solve for x
    x = 404,187,834.91/33,100.45
  6. Step 6: Final answer
    x = 12,210.95

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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.