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Finding the Fourth Proportional to 30,286.33, 45,431.80 and 9,228.16

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Solution

The fourth proportional to 30,286.33, 45,431.80 and 9,228.16 is: 13,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.33 : 45,431.80 = 9,228.16 : x
  2. Step 2: Convert to fraction form
    30,286.33/45,431.80 = 9,228.16/x
  3. Step 3: Cross multiply
    30,286.33x = 45,431.80 × 9,228.16
  4. Step 4: Simplify right side
    30,286.33x = 419,251,919.49
  5. Step 5: Solve for x
    x = 419,251,919.49/30,286.33
  6. Step 6: Final answer
    x = 13,842.94

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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.