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Finding the Fourth Proportional to 138,615.26, 207,921.06 and 33,433.38

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Solution

The fourth proportional to 138,615.26, 207,921.06 and 33,433.38 is: 50,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,615.26 : 207,921.06 = 33,433.38 : x
  2. Step 2: Convert to fraction form
    138,615.26/207,921.06 = 33,433.38/x
  3. Step 3: Cross multiply
    138,615.26x = 207,921.06 × 33,433.38
  4. Step 4: Simplify right side
    138,615.26x = 6,951,503,808.98
  5. Step 5: Solve for x
    x = 6,951,503,808.98/138,615.26
  6. Step 6: Final answer
    x = 50,149.63

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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.