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Finding the Fourth Proportional to 33,794.64, 50,684.43 and 9,773.68

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Solution

The fourth proportional to 33,794.64, 50,684.43 and 9,773.68 is: 14,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,794.64 : 50,684.43 = 9,773.68 : x
  2. Step 2: Convert to fraction form
    33,794.64/50,684.43 = 9,773.68/x
  3. Step 3: Cross multiply
    33,794.64x = 50,684.43 × 9,773.68
  4. Step 4: Simplify right side
    33,794.64x = 495,373,399.80
  5. Step 5: Solve for x
    x = 495,373,399.80/33,794.64
  6. Step 6: Final answer
    x = 14,658.34

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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.