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Finding the Fourth Proportional to 30,991.44, 46,475.90 and 16,961.82

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Solution

The fourth proportional to 30,991.44, 46,475.90 and 16,961.82 is: 25,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.44 : 46,475.90 = 16,961.82 : x
  2. Step 2: Convert to fraction form
    30,991.44/46,475.90 = 16,961.82/x
  3. Step 3: Cross multiply
    30,991.44x = 46,475.90 × 16,961.82
  4. Step 4: Simplify right side
    30,991.44x = 788,315,850.14
  5. Step 5: Solve for x
    x = 788,315,850.14/30,991.44
  6. Step 6: Final answer
    x = 25,436.57

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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.