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Finding the Fourth Proportional to 68,993.76, 103,442.82 and 35,194.14

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Solution

The fourth proportional to 68,993.76, 103,442.82 and 35,194.14 is: 52,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,993.76 : 103,442.82 = 35,194.14 : x
  2. Step 2: Convert to fraction form
    68,993.76/103,442.82 = 35,194.14/x
  3. Step 3: Cross multiply
    68,993.76x = 103,442.82 × 35,194.14
  4. Step 4: Simplify right side
    68,993.76x = 3,640,581,089.07
  5. Step 5: Solve for x
    x = 3,640,581,089.07/68,993.76
  6. Step 6: Final answer
    x = 52,766.82

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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.