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Finding the Fourth Proportional to 31,087.98, 42,901.28 and 16,940.83

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Solution

The fourth proportional to 31,087.98, 42,901.28 and 16,940.83 is: 23,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,087.98 : 42,901.28 = 16,940.83 : x
  2. Step 2: Convert to fraction form
    31,087.98/42,901.28 = 16,940.83/x
  3. Step 3: Cross multiply
    31,087.98x = 42,901.28 × 16,940.83
  4. Step 4: Simplify right side
    31,087.98x = 726,783,099.31
  5. Step 5: Solve for x
    x = 726,783,099.31/31,087.98
  6. Step 6: Final answer
    x = 23,378.27

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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.