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Finding the Fourth Proportional to 54,493.04, 81,763.81 and 27,824.94

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Solution

The fourth proportional to 54,493.04, 81,763.81 and 27,824.94 is: 41,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,493.04 : 81,763.81 = 27,824.94 : x
  2. Step 2: Convert to fraction form
    54,493.04/81,763.81 = 27,824.94/x
  3. Step 3: Cross multiply
    54,493.04x = 81,763.81 × 27,824.94
  4. Step 4: Simplify right side
    54,493.04x = 2,275,072,559.48
  5. Step 5: Solve for x
    x = 2,275,072,559.48/54,493.04
  6. Step 6: Final answer
    x = 41,749.79

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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.