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Finding the Fourth Proportional to 81,714.78, 122,568.84 and 22,548.94

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Solution

The fourth proportional to 81,714.78, 122,568.84 and 22,548.94 is: 33,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714.78 : 122,568.84 = 22,548.94 : x
  2. Step 2: Convert to fraction form
    81,714.78/122,568.84 = 22,548.94/x
  3. Step 3: Cross multiply
    81,714.78x = 122,568.84 × 22,548.94
  4. Step 4: Simplify right side
    81,714.78x = 2,763,797,112.61
  5. Step 5: Solve for x
    x = 2,763,797,112.61/81,714.78
  6. Step 6: Final answer
    x = 33,822.49

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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.