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Finding the Fourth Proportional to 33,523.86, 50,285.80 and 8,563.04

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Solution

The fourth proportional to 33,523.86, 50,285.80 and 8,563.04 is: 12,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,523.86 : 50,285.80 = 8,563.04 : x
  2. Step 2: Convert to fraction form
    33,523.86/50,285.80 = 8,563.04/x
  3. Step 3: Cross multiply
    33,523.86x = 50,285.80 × 8,563.04
  4. Step 4: Simplify right side
    33,523.86x = 430,599,316.83
  5. Step 5: Solve for x
    x = 430,599,316.83/33,523.86
  6. Step 6: Final answer
    x = 12,844.56

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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.