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Finding the Fourth Proportional to 103,104.36, 154,623.60 and 32,967

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Solution

The fourth proportional to 103,104.36, 154,623.60 and 32,967 is: 49,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,104.36 : 154,623.60 = 32,967 : x
  2. Step 2: Convert to fraction form
    103,104.36/154,623.60 = 32,967/x
  3. Step 3: Cross multiply
    103,104.36x = 154,623.60 × 32,967
  4. Step 4: Simplify right side
    103,104.36x = 5,097,476,221.20
  5. Step 5: Solve for x
    x = 5,097,476,221.20/103,104.36
  6. Step 6: Final answer
    x = 49,439.97

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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.