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Finding the Fourth Proportional to 31,096.24, 42,912.79 and 16,949.10

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Solution

The fourth proportional to 31,096.24, 42,912.79 and 16,949.10 is: 23,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.24 : 42,912.79 = 16,949.10 : x
  2. Step 2: Convert to fraction form
    31,096.24/42,912.79 = 16,949.10/x
  3. Step 3: Cross multiply
    31,096.24x = 42,912.79 × 16,949.10
  4. Step 4: Simplify right side
    31,096.24x = 727,333,168.99
  5. Step 5: Solve for x
    x = 727,333,168.99/31,096.24
  6. Step 6: Final answer
    x = 23,389.75

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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.