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Finding the Fourth Proportional to 33,665.50, 50,498.25 and 12,889

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Solution

The fourth proportional to 33,665.50, 50,498.25 and 12,889 is: 19,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,665.50 : 50,498.25 = 12,889 : x
  2. Step 2: Convert to fraction form
    33,665.50/50,498.25 = 12,889/x
  3. Step 3: Cross multiply
    33,665.50x = 50,498.25 × 12,889
  4. Step 4: Simplify right side
    33,665.50x = 650,871,944.25
  5. Step 5: Solve for x
    x = 650,871,944.25/33,665.50
  6. Step 6: Final answer
    x = 19,333.50

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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.