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Finding the Fourth Proportional to 107,333.44, 161,000.16 and 33,461.44

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Solution

The fourth proportional to 107,333.44, 161,000.16 and 33,461.44 is: 50,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,333.44 : 161,000.16 = 33,461.44 : x
  2. Step 2: Convert to fraction form
    107,333.44/161,000.16 = 33,461.44/x
  3. Step 3: Cross multiply
    107,333.44x = 161,000.16 × 33,461.44
  4. Step 4: Simplify right side
    107,333.44x = 5,387,296,665.85
  5. Step 5: Solve for x
    x = 5,387,296,665.85/107,333.44
  6. Step 6: Final answer
    x = 50,192.16

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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.