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Finding the Fourth Proportional to 31,892.88, 44,007 and 17,745.36

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Solution

The fourth proportional to 31,892.88, 44,007 and 17,745.36 is: 24,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892.88 : 44,007 = 17,745.36 : x
  2. Step 2: Convert to fraction form
    31,892.88/44,007 = 17,745.36/x
  3. Step 3: Cross multiply
    31,892.88x = 44,007 × 17,745.36
  4. Step 4: Simplify right side
    31,892.88x = 780,920,057.52
  5. Step 5: Solve for x
    x = 780,920,057.52/31,892.88
  6. Step 6: Final answer
    x = 24,485.72

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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.