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Finding the Fourth Proportional to 82,116.49, 123,174.74 and 19,786.99

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Solution

The fourth proportional to 82,116.49, 123,174.74 and 19,786.99 is: 29,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,116.49 : 123,174.74 = 19,786.99 : x
  2. Step 2: Convert to fraction form
    82,116.49/123,174.74 = 19,786.99/x
  3. Step 3: Cross multiply
    82,116.49x = 123,174.74 × 19,786.99
  4. Step 4: Simplify right side
    82,116.49x = 2,437,257,348.63
  5. Step 5: Solve for x
    x = 2,437,257,348.63/82,116.49
  6. Step 6: Final answer
    x = 29,680.49

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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.