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Finding the Fourth Proportional to 82,021.82, 123,049.12 and 25,870.62

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Solution

The fourth proportional to 82,021.82, 123,049.12 and 25,870.62 is: 38,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,021.82 : 123,049.12 = 25,870.62 : x
  2. Step 2: Convert to fraction form
    82,021.82/123,049.12 = 25,870.62/x
  3. Step 3: Cross multiply
    82,021.82x = 123,049.12 × 25,870.62
  4. Step 4: Simplify right side
    82,021.82x = 3,183,357,024.85
  5. Step 5: Solve for x
    x = 3,183,357,024.85/82,021.82
  6. Step 6: Final answer
    x = 38,811.10

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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.