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Finding the Fourth Proportional to 81,714.98, 122,358.62 and 53,546.42

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Solution

The fourth proportional to 81,714.98, 122,358.62 and 53,546.42 is: 80,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714.98 : 122,358.62 = 53,546.42 : x
  2. Step 2: Convert to fraction form
    81,714.98/122,358.62 = 53,546.42/x
  3. Step 3: Cross multiply
    81,714.98x = 122,358.62 × 53,546.42
  4. Step 4: Simplify right side
    81,714.98x = 6,551,866,057.14
  5. Step 5: Solve for x
    x = 6,551,866,057.14/81,714.98
  6. Step 6: Final answer
    x = 80,179.50

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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.