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Finding the Fourth Proportional to 30,189.76, 41,650.44 and 22,250.96

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Solution

The fourth proportional to 30,189.76, 41,650.44 and 22,250.96 is: 30,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189.76 : 41,650.44 = 22,250.96 : x
  2. Step 2: Convert to fraction form
    30,189.76/41,650.44 = 22,250.96/x
  3. Step 3: Cross multiply
    30,189.76x = 41,650.44 × 22,250.96
  4. Step 4: Simplify right side
    30,189.76x = 926,762,274.42
  5. Step 5: Solve for x
    x = 926,762,274.42/30,189.76
  6. Step 6: Final answer
    x = 30,697.90

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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.