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Finding the Fourth Proportional to 33,710.14, 50,565.20 and 31,632.49

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Solution

The fourth proportional to 33,710.14, 50,565.20 and 31,632.49 is: 47,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,710.14 : 50,565.20 = 31,632.49 : x
  2. Step 2: Convert to fraction form
    33,710.14/50,565.20 = 31,632.49/x
  3. Step 3: Cross multiply
    33,710.14x = 50,565.20 × 31,632.49
  4. Step 4: Simplify right side
    33,710.14x = 1,599,503,183.35
  5. Step 5: Solve for x
    x = 1,599,503,183.35/33,710.14
  6. Step 6: Final answer
    x = 47,448.73

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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.