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Finding the Fourth Proportional to 30,311.21, 45,468.87 and 9,251.39

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Solution

The fourth proportional to 30,311.21, 45,468.87 and 9,251.39 is: 13,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.21 : 45,468.87 = 9,251.39 : x
  2. Step 2: Convert to fraction form
    30,311.21/45,468.87 = 9,251.39/x
  3. Step 3: Cross multiply
    30,311.21x = 45,468.87 × 9,251.39
  4. Step 4: Simplify right side
    30,311.21x = 420,650,226.35
  5. Step 5: Solve for x
    x = 420,650,226.35/30,311.21
  6. Step 6: Final answer
    x = 13,877.71

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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.