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Finding the Fourth Proportional to 82,115.58, 123,173.50 and 19,786.08

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Solution

The fourth proportional to 82,115.58, 123,173.50 and 19,786.08 is: 29,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,115.58 : 123,173.50 = 19,786.08 : x
  2. Step 2: Convert to fraction form
    82,115.58/123,173.50 = 19,786.08/x
  3. Step 3: Cross multiply
    82,115.58x = 123,173.50 × 19,786.08
  4. Step 4: Simplify right side
    82,115.58x = 2,437,120,724.88
  5. Step 5: Solve for x
    x = 2,437,120,724.88/82,115.58
  6. Step 6: Final answer
    x = 29,679.15

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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.