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Finding the Fourth Proportional to 31,183.06, 46,797 and 12,452.36

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Solution

The fourth proportional to 31,183.06, 46,797 and 12,452.36 is: 18,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,183.06 : 46,797 = 12,452.36 : x
  2. Step 2: Convert to fraction form
    31,183.06/46,797 = 12,452.36/x
  3. Step 3: Cross multiply
    31,183.06x = 46,797 × 12,452.36
  4. Step 4: Simplify right side
    31,183.06x = 582,733,090.92
  5. Step 5: Solve for x
    x = 582,733,090.92/31,183.06
  6. Step 6: Final answer
    x = 18,687.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.