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Finding the Fourth Proportional to 82,217.75, 113,383.50 and 54,573.53

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Solution

The fourth proportional to 82,217.75, 113,383.50 and 54,573.53 is: 75,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,217.75 : 113,383.50 = 54,573.53 : x
  2. Step 2: Convert to fraction form
    82,217.75/113,383.50 = 54,573.53/x
  3. Step 3: Cross multiply
    82,217.75x = 113,383.50 × 54,573.53
  4. Step 4: Simplify right side
    82,217.75x = 6,187,737,271.84
  5. Step 5: Solve for x
    x = 6,187,737,271.84/82,217.75
  6. Step 6: Final answer
    x = 75,260.36

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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.