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Finding the Fourth Proportional to 51,078.56, 76,591.24 and 22,974.24

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Solution

The fourth proportional to 51,078.56, 76,591.24 and 22,974.24 is: 34,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,078.56 : 76,591.24 = 22,974.24 : x
  2. Step 2: Convert to fraction form
    51,078.56/76,591.24 = 22,974.24/x
  3. Step 3: Cross multiply
    51,078.56x = 76,591.24 × 22,974.24
  4. Step 4: Simplify right side
    51,078.56x = 1,759,625,529.66
  5. Step 5: Solve for x
    x = 1,759,625,529.66/51,078.56
  6. Step 6: Final answer
    x = 34,449.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.