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Finding the Fourth Proportional to 107,606, 161,434.94 and 33,734

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Solution

The fourth proportional to 107,606, 161,434.94 and 33,734 is: 50,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,606 : 161,434.94 = 33,734 : x
  2. Step 2: Convert to fraction form
    107,606/161,434.94 = 33,734/x
  3. Step 3: Cross multiply
    107,606x = 161,434.94 × 33,734
  4. Step 4: Simplify right side
    107,606x = 5,445,846,265.96
  5. Step 5: Solve for x
    x = 5,445,846,265.96/107,606
  6. Step 6: Final answer
    x = 50,609.13

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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.