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Finding the Fourth Proportional to 34,380.77, 51,463.31 and 23,644.49

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Solution

The fourth proportional to 34,380.77, 51,463.31 and 23,644.49 is: 35,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,380.77 : 51,463.31 = 23,644.49 : x
  2. Step 2: Convert to fraction form
    34,380.77/51,463.31 = 23,644.49/x
  3. Step 3: Cross multiply
    34,380.77x = 51,463.31 × 23,644.49
  4. Step 4: Simplify right side
    34,380.77x = 1,216,823,343.12
  5. Step 5: Solve for x
    x = 1,216,823,343.12/34,380.77
  6. Step 6: Final answer
    x = 35,392.56

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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.