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Finding the Fourth Proportional to 30,406.35, 41,961.47 and 19,076.31

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Solution

The fourth proportional to 30,406.35, 41,961.47 and 19,076.31 is: 26,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.35 : 41,961.47 = 19,076.31 : x
  2. Step 2: Convert to fraction form
    30,406.35/41,961.47 = 19,076.31/x
  3. Step 3: Cross multiply
    30,406.35x = 41,961.47 × 19,076.31
  4. Step 4: Simplify right side
    30,406.35x = 800,469,914.39
  5. Step 5: Solve for x
    x = 800,469,914.39/30,406.35
  6. Step 6: Final answer
    x = 26,325.75

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