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Finding the Fourth Proportional to 68,714.20, 103,071.30 and 33,722.20

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Solution

The fourth proportional to 68,714.20, 103,071.30 and 33,722.20 is: 50,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,714.20 : 103,071.30 = 33,722.20 : x
  2. Step 2: Convert to fraction form
    68,714.20/103,071.30 = 33,722.20/x
  3. Step 3: Cross multiply
    68,714.20x = 103,071.30 × 33,722.20
  4. Step 4: Simplify right side
    68,714.20x = 3,475,790,992.86
  5. Step 5: Solve for x
    x = 3,475,790,992.86/68,714.20
  6. Step 6: Final answer
    x = 50,583.30

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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.