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Finding the Fourth Proportional to 33,153.95, 49,730.43 and 8,194.00

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Solution

The fourth proportional to 33,153.95, 49,730.43 and 8,194.00 is: 12,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.95 : 49,730.43 = 8,194.00 : x
  2. Step 2: Convert to fraction form
    33,153.95/49,730.43 = 8,194.00/x
  3. Step 3: Cross multiply
    33,153.95x = 49,730.43 × 8,194.00
  4. Step 4: Simplify right side
    33,153.95x = 407,491,019.09
  5. Step 5: Solve for x
    x = 407,491,019.09/33,153.95
  6. Step 6: Final answer
    x = 12,290.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.