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Finding the Fourth Proportional to 30,287.73, 45,433.94 and 9,229.58

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Solution

The fourth proportional to 30,287.73, 45,433.94 and 9,229.58 is: 13,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.73 : 45,433.94 = 9,229.58 : x
  2. Step 2: Convert to fraction form
    30,287.73/45,433.94 = 9,229.58/x
  3. Step 3: Cross multiply
    30,287.73x = 45,433.94 × 9,229.58
  4. Step 4: Simplify right side
    30,287.73x = 419,335,910.63
  5. Step 5: Solve for x
    x = 419,335,910.63/30,287.73
  6. Step 6: Final answer
    x = 13,845.08

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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.