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Finding the Fourth Proportional to 33,914.94, 50,823.09 and 16,364.22

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Solution

The fourth proportional to 33,914.94, 50,823.09 and 16,364.22 is: 24,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,914.94 : 50,823.09 = 16,364.22 : x
  2. Step 2: Convert to fraction form
    33,914.94/50,823.09 = 16,364.22/x
  3. Step 3: Cross multiply
    33,914.94x = 50,823.09 × 16,364.22
  4. Step 4: Simplify right side
    33,914.94x = 831,680,225.84
  5. Step 5: Solve for x
    x = 831,680,225.84/33,914.94
  6. Step 6: Final answer
    x = 24,522.53

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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.