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Finding the Fourth Proportional to 30,346.80, 45,512.10 and 9,286.80

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Solution

The fourth proportional to 30,346.80, 45,512.10 and 9,286.80 is: 13,927.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,346.80 : 45,512.10 = 9,286.80 : x
  2. Step 2: Convert to fraction form
    30,346.80/45,512.10 = 9,286.80/x
  3. Step 3: Cross multiply
    30,346.80x = 45,512.10 × 9,286.80
  4. Step 4: Simplify right side
    30,346.80x = 422,661,770.28
  5. Step 5: Solve for x
    x = 422,661,770.28/30,346.80
  6. Step 6: Final answer
    x = 13,927.72

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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.