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Finding the Fourth Proportional to 82,001.82, 123,020.01 and 26,593.50

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Solution

The fourth proportional to 82,001.82, 123,020.01 and 26,593.50 is: 39,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,001.82 : 123,020.01 = 26,593.50 : x
  2. Step 2: Convert to fraction form
    82,001.82/123,020.01 = 26,593.50/x
  3. Step 3: Cross multiply
    82,001.82x = 123,020.01 × 26,593.50
  4. Step 4: Simplify right side
    82,001.82x = 3,271,532,635.94
  5. Step 5: Solve for x
    x = 3,271,532,635.94/82,001.82
  6. Step 6: Final answer
    x = 39,895.85

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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.