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Finding the Fourth Proportional to 33,876.63, 50,811.30 and 20,706.03

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Solution

The fourth proportional to 33,876.63, 50,811.30 and 20,706.03 is: 31,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876.63 : 50,811.30 = 20,706.03 : x
  2. Step 2: Convert to fraction form
    33,876.63/50,811.30 = 20,706.03/x
  3. Step 3: Cross multiply
    33,876.63x = 50,811.30 × 20,706.03
  4. Step 4: Simplify right side
    33,876.63x = 1,052,100,302.14
  5. Step 5: Solve for x
    x = 1,052,100,302.14/33,876.63
  6. Step 6: Final answer
    x = 31,056.82

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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.