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Finding the Fourth Proportional to 31,147.94, 42,989.73 and 18,573.50

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Solution

The fourth proportional to 31,147.94, 42,989.73 and 18,573.50 is: 25,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.94 : 42,989.73 = 18,573.50 : x
  2. Step 2: Convert to fraction form
    31,147.94/42,989.73 = 18,573.50/x
  3. Step 3: Cross multiply
    31,147.94x = 42,989.73 × 18,573.50
  4. Step 4: Simplify right side
    31,147.94x = 798,469,750.16
  5. Step 5: Solve for x
    x = 798,469,750.16/31,147.94
  6. Step 6: Final answer
    x = 25,634.75

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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.