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Finding the Fourth Proportional to 33,524.86, 50,287.30 and 8,564.04

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Solution

The fourth proportional to 33,524.86, 50,287.30 and 8,564.04 is: 12,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524.86 : 50,287.30 = 8,564.04 : x
  2. Step 2: Convert to fraction form
    33,524.86/50,287.30 = 8,564.04/x
  3. Step 3: Cross multiply
    33,524.86x = 50,287.30 × 8,564.04
  4. Step 4: Simplify right side
    33,524.86x = 430,662,448.69
  5. Step 5: Solve for x
    x = 430,662,448.69/33,524.86
  6. Step 6: Final answer
    x = 12,846.06

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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.