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Finding the Fourth Proportional to 81,410.57, 122,106.13 and 22,251.41

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Solution

The fourth proportional to 81,410.57, 122,106.13 and 22,251.41 is: 33,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,410.57 : 122,106.13 = 22,251.41 : x
  2. Step 2: Convert to fraction form
    81,410.57/122,106.13 = 22,251.41/x
  3. Step 3: Cross multiply
    81,410.57x = 122,106.13 × 22,251.41
  4. Step 4: Simplify right side
    81,410.57x = 2,717,033,562.14
  5. Step 5: Solve for x
    x = 2,717,033,562.14/81,410.57
  6. Step 6: Final answer
    x = 33,374.46

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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.