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Finding the Fourth Proportional to 33,664.50, 50,496.75 and 9,040.50

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Solution

The fourth proportional to 33,664.50, 50,496.75 and 9,040.50 is: 13,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,664.50 : 50,496.75 = 9,040.50 : x
  2. Step 2: Convert to fraction form
    33,664.50/50,496.75 = 9,040.50/x
  3. Step 3: Cross multiply
    33,664.50x = 50,496.75 × 9,040.50
  4. Step 4: Simplify right side
    33,664.50x = 456,515,868.38
  5. Step 5: Solve for x
    x = 456,515,868.38/33,664.50
  6. Step 6: Final answer
    x = 13,560.75

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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.