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Finding the Fourth Proportional to 107,593, 161,415.42 and 33,721

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Solution

The fourth proportional to 107,593, 161,415.42 and 33,721 is: 50,589.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,593 : 161,415.42 = 33,721 : x
  2. Step 2: Convert to fraction form
    107,593/161,415.42 = 33,721/x
  3. Step 3: Cross multiply
    107,593x = 161,415.42 × 33,721
  4. Step 4: Simplify right side
    107,593x = 5,443,089,377.82
  5. Step 5: Solve for x
    x = 5,443,089,377.82/107,593
  6. Step 6: Final answer
    x = 50,589.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.