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Finding the Fourth Proportional to 107,714, 161,571 and 33,842

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Solution

The fourth proportional to 107,714, 161,571 and 33,842 is: 50,763

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,714 : 161,571 = 33,842 : x
  2. Step 2: Convert to fraction form
    107,714/161,571 = 33,842/x
  3. Step 3: Cross multiply
    107,714x = 161,571 × 33,842
  4. Step 4: Simplify right side
    107,714x = 5,467,885,782
  5. Step 5: Solve for x
    x = 5,467,885,782/107,714
  6. Step 6: Final answer
    x = 50,763

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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.