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Finding the Fourth Proportional to 54,847.92, 75,690.36 and 30,974.88

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Solution

The fourth proportional to 54,847.92, 75,690.36 and 30,974.88 is: 42,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,847.92 : 75,690.36 = 30,974.88 : x
  2. Step 2: Convert to fraction form
    54,847.92/75,690.36 = 30,974.88/x
  3. Step 3: Cross multiply
    54,847.92x = 75,690.36 × 30,974.88
  4. Step 4: Simplify right side
    54,847.92x = 2,344,499,818.16
  5. Step 5: Solve for x
    x = 2,344,499,818.16/54,847.92
  6. Step 6: Final answer
    x = 42,745.46

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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.