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Finding the Fourth Proportional to 68,481.22, 102,546.44 and 47,392.06

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Solution

The fourth proportional to 68,481.22, 102,546.44 and 47,392.06 is: 70,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,481.22 : 102,546.44 = 47,392.06 : x
  2. Step 2: Convert to fraction form
    68,481.22/102,546.44 = 47,392.06/x
  3. Step 3: Cross multiply
    68,481.22x = 102,546.44 × 47,392.06
  4. Step 4: Simplify right side
    68,481.22x = 4,859,887,037.27
  5. Step 5: Solve for x
    x = 4,859,887,037.27/68,481.22
  6. Step 6: Final answer
    x = 70,966.71

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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.