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Finding the Fourth Proportional to 41,697.12, 62,491.44 and 31,800

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Solution

The fourth proportional to 41,697.12, 62,491.44 and 31,800 is: 47,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,697.12 : 62,491.44 = 31,800 : x
  2. Step 2: Convert to fraction form
    41,697.12/62,491.44 = 31,800/x
  3. Step 3: Cross multiply
    41,697.12x = 62,491.44 × 31,800
  4. Step 4: Simplify right side
    41,697.12x = 1,987,227,792
  5. Step 5: Solve for x
    x = 1,987,227,792/41,697.12
  6. Step 6: Final answer
    x = 47,658.63

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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.