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Finding the Fourth Proportional to 108,538.97, 162,823.74 and 33,665.20

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Solution

The fourth proportional to 108,538.97, 162,823.74 and 33,665.20 is: 50,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,538.97 : 162,823.74 = 33,665.20 : x
  2. Step 2: Convert to fraction form
    108,538.97/162,823.74 = 33,665.20/x
  3. Step 3: Cross multiply
    108,538.97x = 162,823.74 × 33,665.20
  4. Step 4: Simplify right side
    108,538.97x = 5,481,493,771.85
  5. Step 5: Solve for x
    x = 5,481,493,771.85/108,538.97
  6. Step 6: Final answer
    x = 50,502.54

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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.