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Finding the Fourth Proportional to 33,180.77, 49,654.22 and 20,706.67

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Solution

The fourth proportional to 33,180.77, 49,654.22 and 20,706.67 is: 30,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180.77 : 49,654.22 = 20,706.67 : x
  2. Step 2: Convert to fraction form
    33,180.77/49,654.22 = 20,706.67/x
  3. Step 3: Cross multiply
    33,180.77x = 49,654.22 × 20,706.67
  4. Step 4: Simplify right side
    33,180.77x = 1,028,173,506.18
  5. Step 5: Solve for x
    x = 1,028,173,506.18/33,180.77
  6. Step 6: Final answer
    x = 30,987.03

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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.