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Finding the Fourth Proportional to 82,196.54, 113,431.27 and 57,060.62

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Solution

The fourth proportional to 82,196.54, 113,431.27 and 57,060.62 is: 78,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,196.54 : 113,431.27 = 57,060.62 : x
  2. Step 2: Convert to fraction form
    82,196.54/113,431.27 = 57,060.62/x
  3. Step 3: Cross multiply
    82,196.54x = 113,431.27 × 57,060.62
  4. Step 4: Simplify right side
    82,196.54x = 6,472,458,593.59
  5. Step 5: Solve for x
    x = 6,472,458,593.59/82,196.54
  6. Step 6: Final answer
    x = 78,743.69

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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.