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Finding the Fourth Proportional to 31,698.31, 43,745.03 and 17,551.15

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Solution

The fourth proportional to 31,698.31, 43,745.03 and 17,551.15 is: 24,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.31 : 43,745.03 = 17,551.15 : x
  2. Step 2: Convert to fraction form
    31,698.31/43,745.03 = 17,551.15/x
  3. Step 3: Cross multiply
    31,698.31x = 43,745.03 × 17,551.15
  4. Step 4: Simplify right side
    31,698.31x = 767,775,583.28
  5. Step 5: Solve for x
    x = 767,775,583.28/31,698.31
  6. Step 6: Final answer
    x = 24,221.34

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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.