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Finding the Fourth Proportional to 68,234.67, 102,366.72 and 33,194.07

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Solution

The fourth proportional to 68,234.67, 102,366.72 and 33,194.07 is: 49,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,234.67 : 102,366.72 = 33,194.07 : x
  2. Step 2: Convert to fraction form
    68,234.67/102,366.72 = 33,194.07/x
  3. Step 3: Cross multiply
    68,234.67x = 102,366.72 × 33,194.07
  4. Step 4: Simplify right side
    68,234.67x = 3,397,968,069.35
  5. Step 5: Solve for x
    x = 3,397,968,069.35/68,234.67
  6. Step 6: Final answer
    x = 49,798.26

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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.