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Finding the Fourth Proportional to 33,489.40, 50,234.12 and 31,275.24

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Solution

The fourth proportional to 33,489.40, 50,234.12 and 31,275.24 is: 46,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,489.40 : 50,234.12 = 31,275.24 : x
  2. Step 2: Convert to fraction form
    33,489.40/50,234.12 = 31,275.24/x
  3. Step 3: Cross multiply
    33,489.40x = 50,234.12 × 31,275.24
  4. Step 4: Simplify right side
    33,489.40x = 1,571,084,159.19
  5. Step 5: Solve for x
    x = 1,571,084,159.19/33,489.40
  6. Step 6: Final answer
    x = 46,912.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.