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Finding the Fourth Proportional to 30,540.34, 45,815.97 and 15,745.28

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Solution

The fourth proportional to 30,540.34, 45,815.97 and 15,745.28 is: 23,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.34 : 45,815.97 = 15,745.28 : x
  2. Step 2: Convert to fraction form
    30,540.34/45,815.97 = 15,745.28/x
  3. Step 3: Cross multiply
    30,540.34x = 45,815.97 × 15,745.28
  4. Step 4: Simplify right side
    30,540.34x = 721,385,276.12
  5. Step 5: Solve for x
    x = 721,385,276.12/30,540.34
  6. Step 6: Final answer
    x = 23,620.74

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