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Finding the Fourth Proportional to 30,292.44, 45,433.18 and 9,227.44

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Solution

The fourth proportional to 30,292.44, 45,433.18 and 9,227.44 is: 13,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.44 : 45,433.18 = 9,227.44 : x
  2. Step 2: Convert to fraction form
    30,292.44/45,433.18 = 9,227.44/x
  3. Step 3: Cross multiply
    30,292.44x = 45,433.18 × 9,227.44
  4. Step 4: Simplify right side
    30,292.44x = 419,231,942.46
  5. Step 5: Solve for x
    x = 419,231,942.46/30,292.44
  6. Step 6: Final answer
    x = 13,839.49

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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.