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Finding the Fourth Proportional to 54,198, 74,751.30 and 41,419.44

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Solution

The fourth proportional to 54,198, 74,751.30 and 41,419.44 is: 57,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,198 : 74,751.30 = 41,419.44 : x
  2. Step 2: Convert to fraction form
    54,198/74,751.30 = 41,419.44/x
  3. Step 3: Cross multiply
    54,198x = 74,751.30 × 41,419.44
  4. Step 4: Simplify right side
    54,198x = 3,096,156,985.27
  5. Step 5: Solve for x
    x = 3,096,156,985.27/54,198
  6. Step 6: Final answer
    x = 57,126.78

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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.