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Finding the Fourth Proportional to 54,819, 82,233.88 and 22,791.46

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Solution

The fourth proportional to 54,819, 82,233.88 and 22,791.46 is: 34,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,819 : 82,233.88 = 22,791.46 : x
  2. Step 2: Convert to fraction form
    54,819/82,233.88 = 22,791.46/x
  3. Step 3: Cross multiply
    54,819x = 82,233.88 × 22,791.46
  4. Step 4: Simplify right side
    54,819x = 1,874,230,186.66
  5. Step 5: Solve for x
    x = 1,874,230,186.66/54,819
  6. Step 6: Final answer
    x = 34,189.43

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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.