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Finding the Fourth Proportional to 78,680.50, 117,940.73 and 31,329.11

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Solution

The fourth proportional to 78,680.50, 117,940.73 and 31,329.11 is: 46,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,680.50 : 117,940.73 = 31,329.11 : x
  2. Step 2: Convert to fraction form
    78,680.50/117,940.73 = 31,329.11/x
  3. Step 3: Cross multiply
    78,680.50x = 117,940.73 × 31,329.11
  4. Step 4: Simplify right side
    78,680.50x = 3,694,978,241.86
  5. Step 5: Solve for x
    x = 3,694,978,241.86/78,680.50
  6. Step 6: Final answer
    x = 46,961.81

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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.