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Finding the Fourth Proportional to 30,806.05, 42,519.15 and 20,032.19

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Solution

The fourth proportional to 30,806.05, 42,519.15 and 20,032.19 is: 27,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.05 : 42,519.15 = 20,032.19 : x
  2. Step 2: Convert to fraction form
    30,806.05/42,519.15 = 20,032.19/x
  3. Step 3: Cross multiply
    30,806.05x = 42,519.15 × 20,032.19
  4. Step 4: Simplify right side
    30,806.05x = 851,751,691.44
  5. Step 5: Solve for x
    x = 851,751,691.44/30,806.05
  6. Step 6: Final answer
    x = 27,648.84

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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.