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Finding the Fourth Proportional to 33,523.94, 50,285.86 and 8,564.02

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Solution

The fourth proportional to 33,523.94, 50,285.86 and 8,564.02 is: 12,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,523.94 : 50,285.86 = 8,564.02 : x
  2. Step 2: Convert to fraction form
    33,523.94/50,285.86 = 8,564.02/x
  3. Step 3: Cross multiply
    33,523.94x = 50,285.86 × 8,564.02
  4. Step 4: Simplify right side
    33,523.94x = 430,649,110.76
  5. Step 5: Solve for x
    x = 430,649,110.76/33,523.94
  6. Step 6: Final answer
    x = 12,846.02

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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.