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Finding the Fourth Proportional to 54,828, 82,257.12 and 17,892

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Solution

The fourth proportional to 54,828, 82,257.12 and 17,892 is: 26,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,828 : 82,257.12 = 17,892 : x
  2. Step 2: Convert to fraction form
    54,828/82,257.12 = 17,892/x
  3. Step 3: Cross multiply
    54,828x = 82,257.12 × 17,892
  4. Step 4: Simplify right side
    54,828x = 1,471,744,391.04
  5. Step 5: Solve for x
    x = 1,471,744,391.04/54,828
  6. Step 6: Final answer
    x = 26,842.93

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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.