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Finding the Fourth Proportional to 33,612.86, 50,407.53 and 9,914.12

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Solution

The fourth proportional to 33,612.86, 50,407.53 and 9,914.12 is: 14,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,612.86 : 50,407.53 = 9,914.12 : x
  2. Step 2: Convert to fraction form
    33,612.86/50,407.53 = 9,914.12/x
  3. Step 3: Cross multiply
    33,612.86x = 50,407.53 × 9,914.12
  4. Step 4: Simplify right side
    33,612.86x = 499,746,049.29
  5. Step 5: Solve for x
    x = 499,746,049.29/33,612.86
  6. Step 6: Final answer
    x = 14,867.71

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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.