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Finding the Fourth Proportional to 82,096.84, 123,145.32 and 19,767.36

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Solution

The fourth proportional to 82,096.84, 123,145.32 and 19,767.36 is: 29,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,096.84 : 123,145.32 = 19,767.36 : x
  2. Step 2: Convert to fraction form
    82,096.84/123,145.32 = 19,767.36/x
  3. Step 3: Cross multiply
    82,096.84x = 123,145.32 × 19,767.36
  4. Step 4: Simplify right side
    82,096.84x = 2,434,257,872.76
  5. Step 5: Solve for x
    x = 2,434,257,872.76/82,096.84
  6. Step 6: Final answer
    x = 29,651.05

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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.