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Finding the Fourth Proportional to 107,678, 161,523.48 and 33,806

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Solution

The fourth proportional to 107,678, 161,523.48 and 33,806 is: 50,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,678 : 161,523.48 = 33,806 : x
  2. Step 2: Convert to fraction form
    107,678/161,523.48 = 33,806/x
  3. Step 3: Cross multiply
    107,678x = 161,523.48 × 33,806
  4. Step 4: Simplify right side
    107,678x = 5,460,462,764.88
  5. Step 5: Solve for x
    x = 5,460,462,764.88/107,678
  6. Step 6: Final answer
    x = 50,711.03

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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.