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Finding the Fourth Proportional to 81,905.50, 122,801.24 and 36,288.44

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Solution

The fourth proportional to 81,905.50, 122,801.24 and 36,288.44 is: 54,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,905.50 : 122,801.24 = 36,288.44 : x
  2. Step 2: Convert to fraction form
    81,905.50/122,801.24 = 36,288.44/x
  3. Step 3: Cross multiply
    81,905.50x = 122,801.24 × 36,288.44
  4. Step 4: Simplify right side
    81,905.50x = 4,456,265,429.67
  5. Step 5: Solve for x
    x = 4,456,265,429.67/81,905.50
  6. Step 6: Final answer
    x = 54,407.40

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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.