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Finding the Fourth Proportional to 33,280, 49,923.24 and 8,656

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Solution

The fourth proportional to 33,280, 49,923.24 and 8,656 is: 12,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,280 : 49,923.24 = 8,656 : x
  2. Step 2: Convert to fraction form
    33,280/49,923.24 = 8,656/x
  3. Step 3: Cross multiply
    33,280x = 49,923.24 × 8,656
  4. Step 4: Simplify right side
    33,280x = 432,135,565.44
  5. Step 5: Solve for x
    x = 432,135,565.44/33,280
  6. Step 6: Final answer
    x = 12,984.84

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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.