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Finding the Fourth Proportional to 32,906.20, 49,355.66 and 9,532.64

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Solution

The fourth proportional to 32,906.20, 49,355.66 and 9,532.64 is: 14,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.20 : 49,355.66 = 9,532.64 : x
  2. Step 2: Convert to fraction form
    32,906.20/49,355.66 = 9,532.64/x
  3. Step 3: Cross multiply
    32,906.20x = 49,355.66 × 9,532.64
  4. Step 4: Simplify right side
    32,906.20x = 470,489,738.74
  5. Step 5: Solve for x
    x = 470,489,738.74/32,906.20
  6. Step 6: Final answer
    x = 14,297.91

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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.