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Finding the Fourth Proportional to 54,776.81, 82,173.51 and 17,324.43

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Solution

The fourth proportional to 54,776.81, 82,173.51 and 17,324.43 is: 25,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,776.81 : 82,173.51 = 17,324.43 : x
  2. Step 2: Convert to fraction form
    54,776.81/82,173.51 = 17,324.43/x
  3. Step 3: Cross multiply
    54,776.81x = 82,173.51 × 17,324.43
  4. Step 4: Simplify right side
    54,776.81x = 1,423,609,221.85
  5. Step 5: Solve for x
    x = 1,423,609,221.85/54,776.81
  6. Step 6: Final answer
    x = 25,989.27

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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.