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Finding the Fourth Proportional to 82,052.06, 123,078.08 and 25,896.53

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Solution

The fourth proportional to 82,052.06, 123,078.08 and 25,896.53 is: 38,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,052.06 : 123,078.08 = 25,896.53 : x
  2. Step 2: Convert to fraction form
    82,052.06/123,078.08 = 25,896.53/x
  3. Step 3: Cross multiply
    82,052.06x = 123,078.08 × 25,896.53
  4. Step 4: Simplify right side
    82,052.06x = 3,187,295,563.50
  5. Step 5: Solve for x
    x = 3,187,295,563.50/82,052.06
  6. Step 6: Final answer
    x = 38,844.80

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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.