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Finding the Fourth Proportional to 103,997.96, 155,996.82 and 33,877.16

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Solution

The fourth proportional to 103,997.96, 155,996.82 and 33,877.16 is: 50,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,997.96 : 155,996.82 = 33,877.16 : x
  2. Step 2: Convert to fraction form
    103,997.96/155,996.82 = 33,877.16/x
  3. Step 3: Cross multiply
    103,997.96x = 155,996.82 × 33,877.16
  4. Step 4: Simplify right side
    103,997.96x = 5,284,729,230.63
  5. Step 5: Solve for x
    x = 5,284,729,230.63/103,997.96
  6. Step 6: Final answer
    x = 50,815.70

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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.