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Finding the Fourth Proportional to 82,053.50, 123,092.14 and 25,874.54

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Solution

The fourth proportional to 82,053.50, 123,092.14 and 25,874.54 is: 38,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,053.50 : 123,092.14 = 25,874.54 : x
  2. Step 2: Convert to fraction form
    82,053.50/123,092.14 = 25,874.54/x
  3. Step 3: Cross multiply
    82,053.50x = 123,092.14 × 25,874.54
  4. Step 4: Simplify right side
    82,053.50x = 3,184,952,500.12
  5. Step 5: Solve for x
    x = 3,184,952,500.12/82,053.50
  6. Step 6: Final answer
    x = 38,815.56

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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.