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Finding the Fourth Proportional to 30,871.44, 46,297.62 and 11,147.49

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Solution

The fourth proportional to 30,871.44, 46,297.62 and 11,147.49 is: 16,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.44 : 46,297.62 = 11,147.49 : x
  2. Step 2: Convert to fraction form
    30,871.44/46,297.62 = 11,147.49/x
  3. Step 3: Cross multiply
    30,871.44x = 46,297.62 × 11,147.49
  4. Step 4: Simplify right side
    30,871.44x = 516,102,255.97
  5. Step 5: Solve for x
    x = 516,102,255.97/30,871.44
  6. Step 6: Final answer
    x = 16,717.79

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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.