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Finding the Fourth Proportional to 30,380.64, 41,920.26 and 20,292.90

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Solution

The fourth proportional to 30,380.64, 41,920.26 and 20,292.90 is: 28,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,380.64 : 41,920.26 = 20,292.90 : x
  2. Step 2: Convert to fraction form
    30,380.64/41,920.26 = 20,292.90/x
  3. Step 3: Cross multiply
    30,380.64x = 41,920.26 × 20,292.90
  4. Step 4: Simplify right side
    30,380.64x = 850,683,644.15
  5. Step 5: Solve for x
    x = 850,683,644.15/30,380.64
  6. Step 6: Final answer
    x = 28,000.85

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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.