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Finding the Fourth Proportional to 29,942.46, 41,324.44 and 24,898

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Solution

The fourth proportional to 29,942.46, 41,324.44 and 24,898 is: 34,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,942.46 : 41,324.44 = 24,898 : x
  2. Step 2: Convert to fraction form
    29,942.46/41,324.44 = 24,898/x
  3. Step 3: Cross multiply
    29,942.46x = 41,324.44 × 24,898
  4. Step 4: Simplify right side
    29,942.46x = 1,028,895,907.12
  5. Step 5: Solve for x
    x = 1,028,895,907.12/29,942.46
  6. Step 6: Final answer
    x = 34,362.44

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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.