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Finding the Fourth Proportional to 33,093.48, 49,620.24 and 13,349.04

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Solution

The fourth proportional to 33,093.48, 49,620.24 and 13,349.04 is: 20,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,093.48 : 49,620.24 = 13,349.04 : x
  2. Step 2: Convert to fraction form
    33,093.48/49,620.24 = 13,349.04/x
  3. Step 3: Cross multiply
    33,093.48x = 49,620.24 × 13,349.04
  4. Step 4: Simplify right side
    33,093.48x = 662,382,568.57
  5. Step 5: Solve for x
    x = 662,382,568.57/33,093.48
  6. Step 6: Final answer
    x = 20,015.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.