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Finding the Fourth Proportional to 54,822, 82,246 and 17,886

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Solution

The fourth proportional to 54,822, 82,246 and 17,886 is: 26,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,822 : 82,246 = 17,886 : x
  2. Step 2: Convert to fraction form
    54,822/82,246 = 17,886/x
  3. Step 3: Cross multiply
    54,822x = 82,246 × 17,886
  4. Step 4: Simplify right side
    54,822x = 1,471,051,956
  5. Step 5: Solve for x
    x = 1,471,051,956/54,822
  6. Step 6: Final answer
    x = 26,833.24

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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.