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Finding the Fourth Proportional to 30,115.44, 41,558.76 and 16,686

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Solution

The fourth proportional to 30,115.44, 41,558.76 and 16,686 is: 23,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,115.44 : 41,558.76 = 16,686 : x
  2. Step 2: Convert to fraction form
    30,115.44/41,558.76 = 16,686/x
  3. Step 3: Cross multiply
    30,115.44x = 41,558.76 × 16,686
  4. Step 4: Simplify right side
    30,115.44x = 693,449,469.36
  5. Step 5: Solve for x
    x = 693,449,469.36/30,115.44
  6. Step 6: Final answer
    x = 23,026.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.