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Finding the Fourth Proportional to 54,758, 82,137 and 17,822

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Solution

The fourth proportional to 54,758, 82,137 and 17,822 is: 26,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758 : 82,137 = 17,822 : x
  2. Step 2: Convert to fraction form
    54,758/82,137 = 17,822/x
  3. Step 3: Cross multiply
    54,758x = 82,137 × 17,822
  4. Step 4: Simplify right side
    54,758x = 1,463,845,614
  5. Step 5: Solve for x
    x = 1,463,845,614/54,758
  6. Step 6: Final answer
    x = 26,733

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.