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Finding the Fourth Proportional to 33,729.25, 50,588.19 and 12,377.54

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Solution

The fourth proportional to 33,729.25, 50,588.19 and 12,377.54 is: 18,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,729.25 : 50,588.19 = 12,377.54 : x
  2. Step 2: Convert to fraction form
    33,729.25/50,588.19 = 12,377.54/x
  3. Step 3: Cross multiply
    33,729.25x = 50,588.19 × 12,377.54
  4. Step 4: Simplify right side
    33,729.25x = 626,157,345.25
  5. Step 5: Solve for x
    x = 626,157,345.25/33,729.25
  6. Step 6: Final answer
    x = 18,564.22

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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.