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Finding the Fourth Proportional to 30,992.56, 46,481.85 and 8,805.44

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Solution

The fourth proportional to 30,992.56, 46,481.85 and 8,805.44 is: 13,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.56 : 46,481.85 = 8,805.44 : x
  2. Step 2: Convert to fraction form
    30,992.56/46,481.85 = 8,805.44/x
  3. Step 3: Cross multiply
    30,992.56x = 46,481.85 × 8,805.44
  4. Step 4: Simplify right side
    30,992.56x = 409,293,257.47
  5. Step 5: Solve for x
    x = 409,293,257.47/30,992.56
  6. Step 6: Final answer
    x = 13,206.18

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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.