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Finding the Fourth Proportional to 33,937.94, 50,914.22 and 10,243.50

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Solution

The fourth proportional to 33,937.94, 50,914.22 and 10,243.50 is: 15,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,937.94 : 50,914.22 = 10,243.50 : x
  2. Step 2: Convert to fraction form
    33,937.94/50,914.22 = 10,243.50/x
  3. Step 3: Cross multiply
    33,937.94x = 50,914.22 × 10,243.50
  4. Step 4: Simplify right side
    33,937.94x = 521,539,812.57
  5. Step 5: Solve for x
    x = 521,539,812.57/33,937.94
  6. Step 6: Final answer
    x = 15,367.46

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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.