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Finding the Fourth Proportional to 30,796.43, 46,195.86 and 8,611.88

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Solution

The fourth proportional to 30,796.43, 46,195.86 and 8,611.88 is: 12,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.43 : 46,195.86 = 8,611.88 : x
  2. Step 2: Convert to fraction form
    30,796.43/46,195.86 = 8,611.88/x
  3. Step 3: Cross multiply
    30,796.43x = 46,195.86 × 8,611.88
  4. Step 4: Simplify right side
    30,796.43x = 397,833,202.82
  5. Step 5: Solve for x
    x = 397,833,202.82/30,796.43
  6. Step 6: Final answer
    x = 12,918.16

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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.