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Finding the Fourth Proportional to 51,682.68, 71,329.91 and 31,551.30

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Solution

The fourth proportional to 51,682.68, 71,329.91 and 31,551.30 is: 43,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,682.68 : 71,329.91 = 31,551.30 : x
  2. Step 2: Convert to fraction form
    51,682.68/71,329.91 = 31,551.30/x
  3. Step 3: Cross multiply
    51,682.68x = 71,329.91 × 31,551.30
  4. Step 4: Simplify right side
    51,682.68x = 2,250,551,231.63
  5. Step 5: Solve for x
    x = 2,250,551,231.63/51,682.68
  6. Step 6: Final answer
    x = 43,545.56

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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.