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Finding the Fourth Proportional to 82,217.83, 113,383.60 and 54,573.60

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Solution

The fourth proportional to 82,217.83, 113,383.60 and 54,573.60 is: 75,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,217.83 : 113,383.60 = 54,573.60 : x
  2. Step 2: Convert to fraction form
    82,217.83/113,383.60 = 54,573.60/x
  3. Step 3: Cross multiply
    82,217.83x = 113,383.60 × 54,573.60
  4. Step 4: Simplify right side
    82,217.83x = 6,187,751,232.96
  5. Step 5: Solve for x
    x = 6,187,751,232.96/82,217.83
  6. Step 6: Final answer
    x = 75,260.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.