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Finding the Fourth Proportional to 31,745.08, 43,808.71 and 17,406.22

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Solution

The fourth proportional to 31,745.08, 43,808.71 and 17,406.22 is: 24,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.08 : 43,808.71 = 17,406.22 : x
  2. Step 2: Convert to fraction form
    31,745.08/43,808.71 = 17,406.22/x
  3. Step 3: Cross multiply
    31,745.08x = 43,808.71 × 17,406.22
  4. Step 4: Simplify right side
    31,745.08x = 762,544,044.18
  5. Step 5: Solve for x
    x = 762,544,044.18/31,745.08
  6. Step 6: Final answer
    x = 24,020.86

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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.