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Finding the Fourth Proportional to 81,205.10, 121,777.31 and 27,881.94

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Solution

The fourth proportional to 81,205.10, 121,777.31 and 27,881.94 is: 41,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,205.10 : 121,777.31 = 27,881.94 : x
  2. Step 2: Convert to fraction form
    81,205.10/121,777.31 = 27,881.94/x
  3. Step 3: Cross multiply
    81,205.10x = 121,777.31 × 27,881.94
  4. Step 4: Simplify right side
    81,205.10x = 3,395,387,720.49
  5. Step 5: Solve for x
    x = 3,395,387,720.49/81,205.10
  6. Step 6: Final answer
    x = 41,812.50

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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.