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Finding the Fourth Proportional to 81,726.75, 122,597.17 and 22,562.43

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Solution

The fourth proportional to 81,726.75, 122,597.17 and 22,562.43 is: 33,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,726.75 : 122,597.17 = 22,562.43 : x
  2. Step 2: Convert to fraction form
    81,726.75/122,597.17 = 22,562.43/x
  3. Step 3: Cross multiply
    81,726.75x = 122,597.17 × 22,562.43
  4. Step 4: Simplify right side
    81,726.75x = 2,766,090,066.32
  5. Step 5: Solve for x
    x = 2,766,090,066.32/81,726.75
  6. Step 6: Final answer
    x = 33,845.59

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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.