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Finding the Fourth Proportional to 82,172.09, 123,258.11 and 26,768.09

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Solution

The fourth proportional to 82,172.09, 123,258.11 and 26,768.09 is: 40,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,172.09 : 123,258.11 = 26,768.09 : x
  2. Step 2: Convert to fraction form
    82,172.09/123,258.11 = 26,768.09/x
  3. Step 3: Cross multiply
    82,172.09x = 123,258.11 × 26,768.09
  4. Step 4: Simplify right side
    82,172.09x = 3,299,383,431.58
  5. Step 5: Solve for x
    x = 3,299,383,431.58/82,172.09
  6. Step 6: Final answer
    x = 40,152.12

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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.