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Finding the Fourth Proportional to 30,863.48, 46,297.68 and 11,144.02

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Solution

The fourth proportional to 30,863.48, 46,297.68 and 11,144.02 is: 16,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,863.48 : 46,297.68 = 11,144.02 : x
  2. Step 2: Convert to fraction form
    30,863.48/46,297.68 = 11,144.02/x
  3. Step 3: Cross multiply
    30,863.48x = 46,297.68 × 11,144.02
  4. Step 4: Simplify right side
    30,863.48x = 515,942,271.87
  5. Step 5: Solve for x
    x = 515,942,271.87/30,863.48
  6. Step 6: Final answer
    x = 16,716.92

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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.