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Finding the Fourth Proportional to 54,847, 75,689.40 and 29,697.04

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Solution

The fourth proportional to 54,847, 75,689.40 and 29,697.04 is: 40,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,847 : 75,689.40 = 29,697.04 : x
  2. Step 2: Convert to fraction form
    54,847/75,689.40 = 29,697.04/x
  3. Step 3: Cross multiply
    54,847x = 75,689.40 × 29,697.04
  4. Step 4: Simplify right side
    54,847x = 2,247,751,139.38
  5. Step 5: Solve for x
    x = 2,247,751,139.38/54,847
  6. Step 6: Final answer
    x = 40,982.21

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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.