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Finding the Fourth Proportional to 30,286.64, 45,442.44 and 13,410.80

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Solution

The fourth proportional to 30,286.64, 45,442.44 and 13,410.80 is: 20,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.64 : 45,442.44 = 13,410.80 : x
  2. Step 2: Convert to fraction form
    30,286.64/45,442.44 = 13,410.80/x
  3. Step 3: Cross multiply
    30,286.64x = 45,442.44 × 13,410.80
  4. Step 4: Simplify right side
    30,286.64x = 609,419,474.35
  5. Step 5: Solve for x
    x = 609,419,474.35/30,286.64
  6. Step 6: Final answer
    x = 20,121.73

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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.