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Finding the Fourth Proportional to 103,112.36, 154,635.60 and 32,975

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Solution

The fourth proportional to 103,112.36, 154,635.60 and 32,975 is: 49,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,112.36 : 154,635.60 = 32,975 : x
  2. Step 2: Convert to fraction form
    103,112.36/154,635.60 = 32,975/x
  3. Step 3: Cross multiply
    103,112.36x = 154,635.60 × 32,975
  4. Step 4: Simplify right side
    103,112.36x = 5,099,108,910
  5. Step 5: Solve for x
    x = 5,099,108,910/103,112.36
  6. Step 6: Final answer
    x = 49,451.97

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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.