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Finding the Fourth Proportional to 70,593.91, 105,859.78 and 33,164.62

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Solution

The fourth proportional to 70,593.91, 105,859.78 and 33,164.62 is: 49,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,593.91 : 105,859.78 = 33,164.62 : x
  2. Step 2: Convert to fraction form
    70,593.91/105,859.78 = 33,164.62/x
  3. Step 3: Cross multiply
    70,593.91x = 105,859.78 × 33,164.62
  4. Step 4: Simplify right side
    70,593.91x = 3,510,799,376.98
  5. Step 5: Solve for x
    x = 3,510,799,376.98/70,593.91
  6. Step 6: Final answer
    x = 49,732.33

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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.