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Finding the Fourth Proportional to 54,582, 81,873 and 17,646

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Solution

The fourth proportional to 54,582, 81,873 and 17,646 is: 26,469

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,582 : 81,873 = 17,646 : x
  2. Step 2: Convert to fraction form
    54,582/81,873 = 17,646/x
  3. Step 3: Cross multiply
    54,582x = 81,873 × 17,646
  4. Step 4: Simplify right side
    54,582x = 1,444,730,958
  5. Step 5: Solve for x
    x = 1,444,730,958/54,582
  6. Step 6: Final answer
    x = 26,469

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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.