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Finding the Fourth Proportional to 54,341, 81,518.79 and 23,183.54

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Solution

The fourth proportional to 54,341, 81,518.79 and 23,183.54 is: 34,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,341 : 81,518.79 = 23,183.54 : x
  2. Step 2: Convert to fraction form
    54,341/81,518.79 = 23,183.54/x
  3. Step 3: Cross multiply
    54,341x = 81,518.79 × 23,183.54
  4. Step 4: Simplify right side
    54,341x = 1,889,894,128.72
  5. Step 5: Solve for x
    x = 1,889,894,128.72/54,341
  6. Step 6: Final answer
    x = 34,778.42

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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.