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Finding the Fourth Proportional to 31,420.94, 43,361.72 and 17,081.73

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Solution

The fourth proportional to 31,420.94, 43,361.72 and 17,081.73 is: 23,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.94 : 43,361.72 = 17,081.73 : x
  2. Step 2: Convert to fraction form
    31,420.94/43,361.72 = 17,081.73/x
  3. Step 3: Cross multiply
    31,420.94x = 43,361.72 × 17,081.73
  4. Step 4: Simplify right side
    31,420.94x = 740,693,193.38
  5. Step 5: Solve for x
    x = 740,693,193.38/31,420.94
  6. Step 6: Final answer
    x = 23,573.24

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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.