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Finding the Fourth Proportional to 82,311.81, 123,467.85 and 19,982.31

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Solution

The fourth proportional to 82,311.81, 123,467.85 and 19,982.31 is: 29,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,311.81 : 123,467.85 = 19,982.31 : x
  2. Step 2: Convert to fraction form
    82,311.81/123,467.85 = 19,982.31/x
  3. Step 3: Cross multiply
    82,311.81x = 123,467.85 × 19,982.31
  4. Step 4: Simplify right side
    82,311.81x = 2,467,172,853.73
  5. Step 5: Solve for x
    x = 2,467,172,853.73/82,311.81
  6. Step 6: Final answer
    x = 29,973.50

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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.