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Finding the Fourth Proportional to 33,506.31, 50,262.73 and 8,546.57

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Solution

The fourth proportional to 33,506.31, 50,262.73 and 8,546.57 is: 12,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,506.31 : 50,262.73 = 8,546.57 : x
  2. Step 2: Convert to fraction form
    33,506.31/50,262.73 = 8,546.57/x
  3. Step 3: Cross multiply
    33,506.31x = 50,262.73 × 8,546.57
  4. Step 4: Simplify right side
    33,506.31x = 429,573,940.34
  5. Step 5: Solve for x
    x = 429,573,940.34/33,506.31
  6. Step 6: Final answer
    x = 12,820.69

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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.