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Finding the Fourth Proportional to 76,233.20, 114,354.12 and 23,650.16

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Solution

The fourth proportional to 76,233.20, 114,354.12 and 23,650.16 is: 35,476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,233.20 : 114,354.12 = 23,650.16 : x
  2. Step 2: Convert to fraction form
    76,233.20/114,354.12 = 23,650.16/x
  3. Step 3: Cross multiply
    76,233.20x = 114,354.12 × 23,650.16
  4. Step 4: Simplify right side
    76,233.20x = 2,704,493,234.66
  5. Step 5: Solve for x
    x = 2,704,493,234.66/76,233.20
  6. Step 6: Final answer
    x = 35,476.58

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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.