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Finding the Fourth Proportional to 50,716.43, 69,965.09 and 32,817.22

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Solution

The fourth proportional to 50,716.43, 69,965.09 and 32,817.22 is: 45,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,716.43 : 69,965.09 = 32,817.22 : x
  2. Step 2: Convert to fraction form
    50,716.43/69,965.09 = 32,817.22/x
  3. Step 3: Cross multiply
    50,716.43x = 69,965.09 × 32,817.22
  4. Step 4: Simplify right side
    50,716.43x = 2,296,059,401.02
  5. Step 5: Solve for x
    x = 2,296,059,401.02/50,716.43
  6. Step 6: Final answer
    x = 45,272.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.