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Finding the Fourth Proportional to 30,874.28, 46,311.58 and 11,149.16

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Solution

The fourth proportional to 30,874.28, 46,311.58 and 11,149.16 is: 16,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.28 : 46,311.58 = 11,149.16 : x
  2. Step 2: Convert to fraction form
    30,874.28/46,311.58 = 11,149.16/x
  3. Step 3: Cross multiply
    30,874.28x = 46,311.58 × 11,149.16
  4. Step 4: Simplify right side
    30,874.28x = 516,335,215.27
  5. Step 5: Solve for x
    x = 516,335,215.27/30,874.28
  6. Step 6: Final answer
    x = 16,723.80

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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.