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Finding the Fourth Proportional to 33,587.97, 50,349.15 and 13,880.31

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Solution

The fourth proportional to 33,587.97, 50,349.15 and 13,880.31 is: 20,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,587.97 : 50,349.15 = 13,880.31 : x
  2. Step 2: Convert to fraction form
    33,587.97/50,349.15 = 13,880.31/x
  3. Step 3: Cross multiply
    33,587.97x = 50,349.15 × 13,880.31
  4. Step 4: Simplify right side
    33,587.97x = 698,861,810.24
  5. Step 5: Solve for x
    x = 698,861,810.24/33,587.97
  6. Step 6: Final answer
    x = 20,806.91

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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.