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Finding the Fourth Proportional to 33,233.72, 49,863.88 and 13,513.84

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Solution

The fourth proportional to 33,233.72, 49,863.88 and 13,513.84 is: 20,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,233.72 : 49,863.88 = 13,513.84 : x
  2. Step 2: Convert to fraction form
    33,233.72/49,863.88 = 13,513.84/x
  3. Step 3: Cross multiply
    33,233.72x = 49,863.88 × 13,513.84
  4. Step 4: Simplify right side
    33,233.72x = 673,852,496.10
  5. Step 5: Solve for x
    x = 673,852,496.10/33,233.72
  6. Step 6: Final answer
    x = 20,276.17

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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.