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Finding the Fourth Proportional to 104,297.82, 156,394.95 and 33,211.20

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Solution

The fourth proportional to 104,297.82, 156,394.95 and 33,211.20 is: 49,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,297.82 : 156,394.95 = 33,211.20 : x
  2. Step 2: Convert to fraction form
    104,297.82/156,394.95 = 33,211.20/x
  3. Step 3: Cross multiply
    104,297.82x = 156,394.95 × 33,211.20
  4. Step 4: Simplify right side
    104,297.82x = 5,194,063,963.44
  5. Step 5: Solve for x
    x = 5,194,063,963.44/104,297.82
  6. Step 6: Final answer
    x = 49,800.31

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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.