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Finding the Fourth Proportional to 54,896.72, 75,757.64 and 29,746.22

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Solution

The fourth proportional to 54,896.72, 75,757.64 and 29,746.22 is: 41,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,896.72 : 75,757.64 = 29,746.22 : x
  2. Step 2: Convert to fraction form
    54,896.72/75,757.64 = 29,746.22/x
  3. Step 3: Cross multiply
    54,896.72x = 75,757.64 × 29,746.22
  4. Step 4: Simplify right side
    54,896.72x = 2,253,503,466.78
  5. Step 5: Solve for x
    x = 2,253,503,466.78/54,896.72
  6. Step 6: Final answer
    x = 41,049.87

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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.