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Finding the Fourth Proportional to 138,623.30, 207,933.03 and 33,441.38

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Solution

The fourth proportional to 138,623.30, 207,933.03 and 33,441.38 is: 50,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,623.30 : 207,933.03 = 33,441.38 : x
  2. Step 2: Convert to fraction form
    138,623.30/207,933.03 = 33,441.38/x
  3. Step 3: Cross multiply
    138,623.30x = 207,933.03 × 33,441.38
  4. Step 4: Simplify right side
    138,623.30x = 6,953,567,470.78
  5. Step 5: Solve for x
    x = 6,953,567,470.78/138,623.30
  6. Step 6: Final answer
    x = 50,161.61

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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.