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Finding the Fourth Proportional to 33,685.56, 50,546.61 and 13,977.63

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Solution

The fourth proportional to 33,685.56, 50,546.61 and 13,977.63 is: 20,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,685.56 : 50,546.61 = 13,977.63 : x
  2. Step 2: Convert to fraction form
    33,685.56/50,546.61 = 13,977.63/x
  3. Step 3: Cross multiply
    33,685.56x = 50,546.61 × 13,977.63
  4. Step 4: Simplify right side
    33,685.56x = 706,521,812.33
  5. Step 5: Solve for x
    x = 706,521,812.33/33,685.56
  6. Step 6: Final answer
    x = 20,974.03

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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.