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Finding the Fourth Proportional to 33,213.84, 45,847.89 and 24,331.88

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Solution

The fourth proportional to 33,213.84, 45,847.89 and 24,331.88 is: 33,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,213.84 : 45,847.89 = 24,331.88 : x
  2. Step 2: Convert to fraction form
    33,213.84/45,847.89 = 24,331.88/x
  3. Step 3: Cross multiply
    33,213.84x = 45,847.89 × 24,331.88
  4. Step 4: Simplify right side
    33,213.84x = 1,115,565,357.73
  5. Step 5: Solve for x
    x = 1,115,565,357.73/33,213.84
  6. Step 6: Final answer
    x = 33,587.36

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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.