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Finding the Fourth Proportional to 30,408.57, 45,611.85 and 13,768.60

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Solution

The fourth proportional to 30,408.57, 45,611.85 and 13,768.60 is: 20,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,408.57 : 45,611.85 = 13,768.60 : x
  2. Step 2: Convert to fraction form
    30,408.57/45,611.85 = 13,768.60/x
  3. Step 3: Cross multiply
    30,408.57x = 45,611.85 × 13,768.60
  4. Step 4: Simplify right side
    30,408.57x = 628,011,317.91
  5. Step 5: Solve for x
    x = 628,011,317.91/30,408.57
  6. Step 6: Final answer
    x = 20,652.44

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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.