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Finding the Fourth Proportional to 30,481.96, 45,716.70 and 8,296.84

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Solution

The fourth proportional to 30,481.96, 45,716.70 and 8,296.84 is: 12,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,481.96 : 45,716.70 = 8,296.84 : x
  2. Step 2: Convert to fraction form
    30,481.96/45,716.70 = 8,296.84/x
  3. Step 3: Cross multiply
    30,481.96x = 45,716.70 × 8,296.84
  4. Step 4: Simplify right side
    30,481.96x = 379,304,145.23
  5. Step 5: Solve for x
    x = 379,304,145.23/30,481.96
  6. Step 6: Final answer
    x = 12,443.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.