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Finding the Fourth Proportional to 30,835.82, 46,245.33 and 8,647.82

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Solution

The fourth proportional to 30,835.82, 46,245.33 and 8,647.82 is: 12,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.82 : 46,245.33 = 8,647.82 : x
  2. Step 2: Convert to fraction form
    30,835.82/46,245.33 = 8,647.82/x
  3. Step 3: Cross multiply
    30,835.82x = 46,245.33 × 8,647.82
  4. Step 4: Simplify right side
    30,835.82x = 399,921,289.68
  5. Step 5: Solve for x
    x = 399,921,289.68/30,835.82
  6. Step 6: Final answer
    x = 12,969.37

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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.