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Finding the Fourth Proportional to 61,044.25, 91,982.33 and 50,194

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Solution

The fourth proportional to 61,044.25, 91,982.33 and 50,194 is: 75,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,044.25 : 91,982.33 = 50,194 : x
  2. Step 2: Convert to fraction form
    61,044.25/91,982.33 = 50,194/x
  3. Step 3: Cross multiply
    61,044.25x = 91,982.33 × 50,194
  4. Step 4: Simplify right side
    61,044.25x = 4,616,961,072.02
  5. Step 5: Solve for x
    x = 4,616,961,072.02/61,044.25
  6. Step 6: Final answer
    x = 75,633.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.