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Finding the Fourth Proportional to 71,874.75, 107,669.51 and 33,871.98

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Solution

The fourth proportional to 71,874.75, 107,669.51 and 33,871.98 is: 50,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,874.75 : 107,669.51 = 33,871.98 : x
  2. Step 2: Convert to fraction form
    71,874.75/107,669.51 = 33,871.98/x
  3. Step 3: Cross multiply
    71,874.75x = 107,669.51 × 33,871.98
  4. Step 4: Simplify right side
    71,874.75x = 3,646,979,489.33
  5. Step 5: Solve for x
    x = 3,646,979,489.33/71,874.75
  6. Step 6: Final answer
    x = 50,740.76

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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.