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Finding the Fourth Proportional to 33,532.13, 50,221.64 and 16,014.26

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Solution

The fourth proportional to 33,532.13, 50,221.64 and 16,014.26 is: 23,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,532.13 : 50,221.64 = 16,014.26 : x
  2. Step 2: Convert to fraction form
    33,532.13/50,221.64 = 16,014.26/x
  3. Step 3: Cross multiply
    33,532.13x = 50,221.64 × 16,014.26
  4. Step 4: Simplify right side
    33,532.13x = 804,262,069.41
  5. Step 5: Solve for x
    x = 804,262,069.41/33,532.13
  6. Step 6: Final answer
    x = 23,984.82

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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.