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Finding the Fourth Proportional to 33,163.52, 49,737.92 and 9,784.48

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Solution

The fourth proportional to 33,163.52, 49,737.92 and 9,784.48 is: 14,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,163.52 : 49,737.92 = 9,784.48 : x
  2. Step 2: Convert to fraction form
    33,163.52/49,737.92 = 9,784.48/x
  3. Step 3: Cross multiply
    33,163.52x = 49,737.92 × 9,784.48
  4. Step 4: Simplify right side
    33,163.52x = 486,659,683.48
  5. Step 5: Solve for x
    x = 486,659,683.48/33,163.52
  6. Step 6: Final answer
    x = 14,674.55

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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.