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Finding the Fourth Proportional to 31,517.67, 43,485.74 and 21,946.80

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Solution

The fourth proportional to 31,517.67, 43,485.74 and 21,946.80 is: 30,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517.67 : 43,485.74 = 21,946.80 : x
  2. Step 2: Convert to fraction form
    31,517.67/43,485.74 = 21,946.80/x
  3. Step 3: Cross multiply
    31,517.67x = 43,485.74 × 21,946.80
  4. Step 4: Simplify right side
    31,517.67x = 954,372,838.63
  5. Step 5: Solve for x
    x = 954,372,838.63/31,517.67
  6. Step 6: Final answer
    x = 30,280.56

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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.