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Finding the Fourth Proportional to 29,851.94, 41,218.80 and 22,942.17

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Solution

The fourth proportional to 29,851.94, 41,218.80 and 22,942.17 is: 31,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,851.94 : 41,218.80 = 22,942.17 : x
  2. Step 2: Convert to fraction form
    29,851.94/41,218.80 = 22,942.17/x
  3. Step 3: Cross multiply
    29,851.94x = 41,218.80 × 22,942.17
  4. Step 4: Simplify right side
    29,851.94x = 945,648,716.80
  5. Step 5: Solve for x
    x = 945,648,716.80/29,851.94
  6. Step 6: Final answer
    x = 31,677.97

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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.