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Finding the Fourth Proportional to 33,236.33, 49,853.68 and 13,509.99

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Solution

The fourth proportional to 33,236.33, 49,853.68 and 13,509.99 is: 20,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,236.33 : 49,853.68 = 13,509.99 : x
  2. Step 2: Convert to fraction form
    33,236.33/49,853.68 = 13,509.99/x
  3. Step 3: Cross multiply
    33,236.33x = 49,853.68 × 13,509.99
  4. Step 4: Simplify right side
    33,236.33x = 673,522,684.49
  5. Step 5: Solve for x
    x = 673,522,684.49/33,236.33
  6. Step 6: Final answer
    x = 20,264.66

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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.