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Finding the Fourth Proportional to 54,891.72, 75,750.57 and 29,741.22

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Solution

The fourth proportional to 54,891.72, 75,750.57 and 29,741.22 is: 41,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,891.72 : 75,750.57 = 29,741.22 : x
  2. Step 2: Convert to fraction form
    54,891.72/75,750.57 = 29,741.22/x
  3. Step 3: Cross multiply
    54,891.72x = 75,750.57 × 29,741.22
  4. Step 4: Simplify right side
    54,891.72x = 2,252,914,367.50
  5. Step 5: Solve for x
    x = 2,252,914,367.50/54,891.72
  6. Step 6: Final answer
    x = 41,042.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.