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Finding the Fourth Proportional to 30,794.40, 42,481.14 and 19,458.42

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Solution

The fourth proportional to 30,794.40, 42,481.14 and 19,458.42 is: 26,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.40 : 42,481.14 = 19,458.42 : x
  2. Step 2: Convert to fraction form
    30,794.40/42,481.14 = 19,458.42/x
  3. Step 3: Cross multiply
    30,794.40x = 42,481.14 × 19,458.42
  4. Step 4: Simplify right side
    30,794.40x = 826,615,864.20
  5. Step 5: Solve for x
    x = 826,615,864.20/30,794.40
  6. Step 6: Final answer
    x = 26,843.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.