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Finding the Fourth Proportional to 54,393.73, 81,494.03 and 22,734

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Solution

The fourth proportional to 54,393.73, 81,494.03 and 22,734 is: 34,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,393.73 : 81,494.03 = 22,734 : x
  2. Step 2: Convert to fraction form
    54,393.73/81,494.03 = 22,734/x
  3. Step 3: Cross multiply
    54,393.73x = 81,494.03 × 22,734
  4. Step 4: Simplify right side
    54,393.73x = 1,852,685,334.86
  5. Step 5: Solve for x
    x = 1,852,685,334.86/54,393.73
  6. Step 6: Final answer
    x = 34,060.64

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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.