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Finding the Fourth Proportional to 54,492.54, 81,763.05 and 27,824.43

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Solution

The fourth proportional to 54,492.54, 81,763.05 and 27,824.43 is: 41,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,492.54 : 81,763.05 = 27,824.43 : x
  2. Step 2: Convert to fraction form
    54,492.54/81,763.05 = 27,824.43/x
  3. Step 3: Cross multiply
    54,492.54x = 81,763.05 × 27,824.43
  4. Step 4: Simplify right side
    54,492.54x = 2,275,010,672.26
  5. Step 5: Solve for x
    x = 2,275,010,672.26/54,492.54
  6. Step 6: Final answer
    x = 41,749.03

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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.