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Finding the Fourth Proportional to 33,993.68, 50,973.01 and 15,257.66

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Solution

The fourth proportional to 33,993.68, 50,973.01 and 15,257.66 is: 22,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993.68 : 50,973.01 = 15,257.66 : x
  2. Step 2: Convert to fraction form
    33,993.68/50,973.01 = 15,257.66/x
  3. Step 3: Cross multiply
    33,993.68x = 50,973.01 × 15,257.66
  4. Step 4: Simplify right side
    33,993.68x = 777,728,648.57
  5. Step 5: Solve for x
    x = 777,728,648.57/33,993.68
  6. Step 6: Final answer
    x = 22,878.62

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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.