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Finding the Fourth Proportional to 78,003.95, 117,198.50 and 49,936.23

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Solution

The fourth proportional to 78,003.95, 117,198.50 and 49,936.23 is: 75,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,003.95 : 117,198.50 = 49,936.23 : x
  2. Step 2: Convert to fraction form
    78,003.95/117,198.50 = 49,936.23/x
  3. Step 3: Cross multiply
    78,003.95x = 117,198.50 × 49,936.23
  4. Step 4: Simplify right side
    78,003.95x = 5,852,451,001.97
  5. Step 5: Solve for x
    x = 5,852,451,001.97/78,003.95
  6. Step 6: Final answer
    x = 75,027.63

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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.