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Finding the Fourth Proportional to 103,983.36, 155,988 and 33,843.84

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Solution

The fourth proportional to 103,983.36, 155,988 and 33,843.84 is: 50,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,983.36 : 155,988 = 33,843.84 : x
  2. Step 2: Convert to fraction form
    103,983.36/155,988 = 33,843.84/x
  3. Step 3: Cross multiply
    103,983.36x = 155,988 × 33,843.84
  4. Step 4: Simplify right side
    103,983.36x = 5,279,232,913.92
  5. Step 5: Solve for x
    x = 5,279,232,913.92/103,983.36
  6. Step 6: Final answer
    x = 50,769.98

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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.