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Finding the Fourth Proportional to 33,238.84, 49,858.97 and 13,503.80

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Solution

The fourth proportional to 33,238.84, 49,858.97 and 13,503.80 is: 20,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238.84 : 49,858.97 = 13,503.80 : x
  2. Step 2: Convert to fraction form
    33,238.84/49,858.97 = 13,503.80/x
  3. Step 3: Cross multiply
    33,238.84x = 49,858.97 × 13,503.80
  4. Step 4: Simplify right side
    33,238.84x = 673,285,242.27
  5. Step 5: Solve for x
    x = 673,285,242.27/33,238.84
  6. Step 6: Final answer
    x = 20,255.98

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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.