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Finding the Fourth Proportional to 31,878.36, 43,992 and 17,731.17

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Solution

The fourth proportional to 31,878.36, 43,992 and 17,731.17 is: 24,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.36 : 43,992 = 17,731.17 : x
  2. Step 2: Convert to fraction form
    31,878.36/43,992 = 17,731.17/x
  3. Step 3: Cross multiply
    31,878.36x = 43,992 × 17,731.17
  4. Step 4: Simplify right side
    31,878.36x = 780,029,630.64
  5. Step 5: Solve for x
    x = 780,029,630.64/31,878.36
  6. Step 6: Final answer
    x = 24,468.94

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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.