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Finding the Fourth Proportional to 43,471.73, 65,195.01 and 19,766.09

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Solution

The fourth proportional to 43,471.73, 65,195.01 and 19,766.09 is: 29,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,471.73 : 65,195.01 = 19,766.09 : x
  2. Step 2: Convert to fraction form
    43,471.73/65,195.01 = 19,766.09/x
  3. Step 3: Cross multiply
    43,471.73x = 65,195.01 × 19,766.09
  4. Step 4: Simplify right side
    43,471.73x = 1,288,650,109.24
  5. Step 5: Solve for x
    x = 1,288,650,109.24/43,471.73
  6. Step 6: Final answer
    x = 29,643.41

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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.