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Finding the Fourth Proportional to 33,706.26, 50,670.18 and 31,270.50

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Solution

The fourth proportional to 33,706.26, 50,670.18 and 31,270.50 is: 47,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706.26 : 50,670.18 = 31,270.50 : x
  2. Step 2: Convert to fraction form
    33,706.26/50,670.18 = 31,270.50/x
  3. Step 3: Cross multiply
    33,706.26x = 50,670.18 × 31,270.50
  4. Step 4: Simplify right side
    33,706.26x = 1,584,481,863.69
  5. Step 5: Solve for x
    x = 1,584,481,863.69/33,706.26
  6. Step 6: Final answer
    x = 47,008.53

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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.