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Finding the Fourth Proportional to 54,382.74, 81,577.99 and 22,760.98

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Solution

The fourth proportional to 54,382.74, 81,577.99 and 22,760.98 is: 34,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382.74 : 81,577.99 = 22,760.98 : x
  2. Step 2: Convert to fraction form
    54,382.74/81,577.99 = 22,760.98/x
  3. Step 3: Cross multiply
    54,382.74x = 81,577.99 × 22,760.98
  4. Step 4: Simplify right side
    54,382.74x = 1,856,794,823.34
  5. Step 5: Solve for x
    x = 1,856,794,823.34/54,382.74
  6. Step 6: Final answer
    x = 34,143.09

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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.