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Finding the Fourth Proportional to 33,221.46, 49,819.23 and 14,507.22

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Solution

The fourth proportional to 33,221.46, 49,819.23 and 14,507.22 is: 21,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,221.46 : 49,819.23 = 14,507.22 : x
  2. Step 2: Convert to fraction form
    33,221.46/49,819.23 = 14,507.22/x
  3. Step 3: Cross multiply
    33,221.46x = 49,819.23 × 14,507.22
  4. Step 4: Simplify right side
    33,221.46x = 722,738,529.84
  5. Step 5: Solve for x
    x = 722,738,529.84/33,221.46
  6. Step 6: Final answer
    x = 21,755.17

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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.