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Finding the Fourth Proportional to 33,962.84, 50,947 and 12,912.96

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Solution

The fourth proportional to 33,962.84, 50,947 and 12,912.96 is: 19,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,962.84 : 50,947 = 12,912.96 : x
  2. Step 2: Convert to fraction form
    33,962.84/50,947 = 12,912.96/x
  3. Step 3: Cross multiply
    33,962.84x = 50,947 × 12,912.96
  4. Step 4: Simplify right side
    33,962.84x = 657,876,573.12
  5. Step 5: Solve for x
    x = 657,876,573.12/33,962.84
  6. Step 6: Final answer
    x = 19,370.48

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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.