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Finding the Fourth Proportional to 33,900.96, 50,832 and 31,944

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Solution

The fourth proportional to 33,900.96, 50,832 and 31,944 is: 47,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,900.96 : 50,832 = 31,944 : x
  2. Step 2: Convert to fraction form
    33,900.96/50,832 = 31,944/x
  3. Step 3: Cross multiply
    33,900.96x = 50,832 × 31,944
  4. Step 4: Simplify right side
    33,900.96x = 1,623,777,408
  5. Step 5: Solve for x
    x = 1,623,777,408/33,900.96
  6. Step 6: Final answer
    x = 47,897.68

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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.