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Finding the Fourth Proportional to 33,011.84, 45,496.85 and 24,045.14

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Solution

The fourth proportional to 33,011.84, 45,496.85 and 24,045.14 is: 33,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,011.84 : 45,496.85 = 24,045.14 : x
  2. Step 2: Convert to fraction form
    33,011.84/45,496.85 = 24,045.14/x
  3. Step 3: Cross multiply
    33,011.84x = 45,496.85 × 24,045.14
  4. Step 4: Simplify right side
    33,011.84x = 1,093,978,121.33
  5. Step 5: Solve for x
    x = 1,093,978,121.33/33,011.84
  6. Step 6: Final answer
    x = 33,138.96

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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.