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Finding the Fourth Proportional to 33,640.14, 50,430.06 and 13,906.08

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Solution

The fourth proportional to 33,640.14, 50,430.06 and 13,906.08 is: 20,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,640.14 : 50,430.06 = 13,906.08 : x
  2. Step 2: Convert to fraction form
    33,640.14/50,430.06 = 13,906.08/x
  3. Step 3: Cross multiply
    33,640.14x = 50,430.06 × 13,906.08
  4. Step 4: Simplify right side
    33,640.14x = 701,284,448.76
  5. Step 5: Solve for x
    x = 701,284,448.76/33,640.14
  6. Step 6: Final answer
    x = 20,846.66

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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.