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Finding the Fourth Proportional to 33,848.82, 50,759.26 and 12,785.28

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Solution

The fourth proportional to 33,848.82, 50,759.26 and 12,785.28 is: 19,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,848.82 : 50,759.26 = 12,785.28 : x
  2. Step 2: Convert to fraction form
    33,848.82/50,759.26 = 12,785.28/x
  3. Step 3: Cross multiply
    33,848.82x = 50,759.26 × 12,785.28
  4. Step 4: Simplify right side
    33,848.82x = 648,971,351.69
  5. Step 5: Solve for x
    x = 648,971,351.69/33,848.82
  6. Step 6: Final answer
    x = 19,172.64

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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.