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Finding the Fourth Proportional to 30,891.44, 42,631.38 and 18,788.42

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Solution

The fourth proportional to 30,891.44, 42,631.38 and 18,788.42 is: 25,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.44 : 42,631.38 = 18,788.42 : x
  2. Step 2: Convert to fraction form
    30,891.44/42,631.38 = 18,788.42/x
  3. Step 3: Cross multiply
    30,891.44x = 42,631.38 × 18,788.42
  4. Step 4: Simplify right side
    30,891.44x = 800,976,379.20
  5. Step 5: Solve for x
    x = 800,976,379.20/30,891.44
  6. Step 6: Final answer
    x = 25,928.75

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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.