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Finding the Fourth Proportional to 81,380.50, 122,065.89 and 25,220.77

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Solution

The fourth proportional to 81,380.50, 122,065.89 and 25,220.77 is: 37,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,380.50 : 122,065.89 = 25,220.77 : x
  2. Step 2: Convert to fraction form
    81,380.50/122,065.89 = 25,220.77/x
  3. Step 3: Cross multiply
    81,380.50x = 122,065.89 × 25,220.77
  4. Step 4: Simplify right side
    81,380.50x = 3,078,595,736.54
  5. Step 5: Solve for x
    x = 3,078,595,736.54/81,380.50
  6. Step 6: Final answer
    x = 37,829.65

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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.