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Finding the Fourth Proportional to 82,115.49, 123,173.24 and 19,785.99

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Solution

The fourth proportional to 82,115.49, 123,173.24 and 19,785.99 is: 29,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,115.49 : 123,173.24 = 19,785.99 : x
  2. Step 2: Convert to fraction form
    82,115.49/123,173.24 = 19,785.99/x
  3. Step 3: Cross multiply
    82,115.49x = 123,173.24 × 19,785.99
  4. Step 4: Simplify right side
    82,115.49x = 2,437,104,395.98
  5. Step 5: Solve for x
    x = 2,437,104,395.98/82,115.49
  6. Step 6: Final answer
    x = 29,678.99

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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.