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Finding the Fourth Proportional to 33,249.76, 49,874.38 and 8,289.64

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Solution

The fourth proportional to 33,249.76, 49,874.38 and 8,289.64 is: 12,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,249.76 : 49,874.38 = 8,289.64 : x
  2. Step 2: Convert to fraction form
    33,249.76/49,874.38 = 8,289.64/x
  3. Step 3: Cross multiply
    33,249.76x = 49,874.38 × 8,289.64
  4. Step 4: Simplify right side
    33,249.76x = 413,440,655.42
  5. Step 5: Solve for x
    x = 413,440,655.42/33,249.76
  6. Step 6: Final answer
    x = 12,434.40

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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.