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Finding the Fourth Proportional to 32,286.24, 44,571.60 and 22,332.96

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Solution

The fourth proportional to 32,286.24, 44,571.60 and 22,332.96 is: 30,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.24 : 44,571.60 = 22,332.96 : x
  2. Step 2: Convert to fraction form
    32,286.24/44,571.60 = 22,332.96/x
  3. Step 3: Cross multiply
    32,286.24x = 44,571.60 × 22,332.96
  4. Step 4: Simplify right side
    32,286.24x = 995,415,759.94
  5. Step 5: Solve for x
    x = 995,415,759.94/32,286.24
  6. Step 6: Final answer
    x = 30,830.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.