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Finding the Fourth Proportional to 31,694.25, 43,738.07 and 17,548.01

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Solution

The fourth proportional to 31,694.25, 43,738.07 and 17,548.01 is: 24,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,694.25 : 43,738.07 = 17,548.01 : x
  2. Step 2: Convert to fraction form
    31,694.25/43,738.07 = 17,548.01/x
  3. Step 3: Cross multiply
    31,694.25x = 43,738.07 × 17,548.01
  4. Step 4: Simplify right side
    31,694.25x = 767,515,783.31
  5. Step 5: Solve for x
    x = 767,515,783.31/31,694.25
  6. Step 6: Final answer
    x = 24,216.25

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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.