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Finding the Fourth Proportional to 32,906.40, 49,359.15 and 7,946.33

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Solution

The fourth proportional to 32,906.40, 49,359.15 and 7,946.33 is: 11,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.40 : 49,359.15 = 7,946.33 : x
  2. Step 2: Convert to fraction form
    32,906.40/49,359.15 = 7,946.33/x
  3. Step 3: Cross multiply
    32,906.40x = 49,359.15 × 7,946.33
  4. Step 4: Simplify right side
    32,906.40x = 392,223,847.62
  5. Step 5: Solve for x
    x = 392,223,847.62/32,906.40
  6. Step 6: Final answer
    x = 11,919.38

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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.