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Finding the Fourth Proportional to 80,232.50, 120,351.54 and 38,090.90

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Solution

The fourth proportional to 80,232.50, 120,351.54 and 38,090.90 is: 57,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,232.50 : 120,351.54 = 38,090.90 : x
  2. Step 2: Convert to fraction form
    80,232.50/120,351.54 = 38,090.90/x
  3. Step 3: Cross multiply
    80,232.50x = 120,351.54 × 38,090.90
  4. Step 4: Simplify right side
    80,232.50x = 4,584,298,474.99
  5. Step 5: Solve for x
    x = 4,584,298,474.99/80,232.50
  6. Step 6: Final answer
    x = 57,137.67

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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.