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Finding the Fourth Proportional to 80,293.82, 120,440.39 and 20,322.50

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Solution

The fourth proportional to 80,293.82, 120,440.39 and 20,322.50 is: 30,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,293.82 : 120,440.39 = 20,322.50 : x
  2. Step 2: Convert to fraction form
    80,293.82/120,440.39 = 20,322.50/x
  3. Step 3: Cross multiply
    80,293.82x = 120,440.39 × 20,322.50
  4. Step 4: Simplify right side
    80,293.82x = 2,447,649,121.96
  5. Step 5: Solve for x
    x = 2,447,649,121.96/80,293.82
  6. Step 6: Final answer
    x = 30,483.66

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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.