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Finding the Fourth Proportional to 73,022.73, 109,534.50 and 30,892.20

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Solution

The fourth proportional to 73,022.73, 109,534.50 and 30,892.20 is: 46,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,022.73 : 109,534.50 = 30,892.20 : x
  2. Step 2: Convert to fraction form
    73,022.73/109,534.50 = 30,892.20/x
  3. Step 3: Cross multiply
    73,022.73x = 109,534.50 × 30,892.20
  4. Step 4: Simplify right side
    73,022.73x = 3,383,761,680.90
  5. Step 5: Solve for x
    x = 3,383,761,680.90/73,022.73
  6. Step 6: Final answer
    x = 46,338.47

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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.