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Finding the Fourth Proportional to 54,793.80, 75,619.44 and 30,922.56

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Solution

The fourth proportional to 54,793.80, 75,619.44 and 30,922.56 is: 42,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,793.80 : 75,619.44 = 30,922.56 : x
  2. Step 2: Convert to fraction form
    54,793.80/75,619.44 = 30,922.56/x
  3. Step 3: Cross multiply
    54,793.80x = 75,619.44 × 30,922.56
  4. Step 4: Simplify right side
    54,793.80x = 2,338,346,670.57
  5. Step 5: Solve for x
    x = 2,338,346,670.57/54,793.80
  6. Step 6: Final answer
    x = 42,675.39

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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.