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Finding the Fourth Proportional to 81,531.94, 122,275.72 and 22,353.54

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Solution

The fourth proportional to 81,531.94, 122,275.72 and 22,353.54 is: 33,524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,531.94 : 122,275.72 = 22,353.54 : x
  2. Step 2: Convert to fraction form
    81,531.94/122,275.72 = 22,353.54/x
  3. Step 3: Cross multiply
    81,531.94x = 122,275.72 × 22,353.54
  4. Step 4: Simplify right side
    81,531.94x = 2,733,295,198.05
  5. Step 5: Solve for x
    x = 2,733,295,198.05/81,531.94
  6. Step 6: Final answer
    x = 33,524.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.