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Finding the Fourth Proportional to 34,230.56, 51,462.96 and 31,665.44

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Solution

The fourth proportional to 34,230.56, 51,462.96 and 31,665.44 is: 47,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,230.56 : 51,462.96 = 31,665.44 : x
  2. Step 2: Convert to fraction form
    34,230.56/51,462.96 = 31,665.44/x
  3. Step 3: Cross multiply
    34,230.56x = 51,462.96 × 31,665.44
  4. Step 4: Simplify right side
    34,230.56x = 1,629,597,272.10
  5. Step 5: Solve for x
    x = 1,629,597,272.10/34,230.56
  6. Step 6: Final answer
    x = 47,606.50

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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.