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Finding the Fourth Proportional to 32,074.26, 44,262.76 and 17,733.86

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Solution

The fourth proportional to 32,074.26, 44,262.76 and 17,733.86 is: 24,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.26 : 44,262.76 = 17,733.86 : x
  2. Step 2: Convert to fraction form
    32,074.26/44,262.76 = 17,733.86/x
  3. Step 3: Cross multiply
    32,074.26x = 44,262.76 × 17,733.86
  4. Step 4: Simplify right side
    32,074.26x = 784,949,589.05
  5. Step 5: Solve for x
    x = 784,949,589.05/32,074.26
  6. Step 6: Final answer
    x = 24,472.88

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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.