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Finding the Fourth Proportional to 33,155.26, 49,737.75 and 9,778.66

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Solution

The fourth proportional to 33,155.26, 49,737.75 and 9,778.66 is: 14,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,155.26 : 49,737.75 = 9,778.66 : x
  2. Step 2: Convert to fraction form
    33,155.26/49,737.75 = 9,778.66/x
  3. Step 3: Cross multiply
    33,155.26x = 49,737.75 × 9,778.66
  4. Step 4: Simplify right side
    33,155.26x = 486,368,546.42
  5. Step 5: Solve for x
    x = 486,368,546.42/33,155.26
  6. Step 6: Final answer
    x = 14,669.42

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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.