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Finding the Fourth Proportional to 31,571.54, 43,584.48 and 19,638.72

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Solution

The fourth proportional to 31,571.54, 43,584.48 and 19,638.72 is: 27,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,571.54 : 43,584.48 = 19,638.72 : x
  2. Step 2: Convert to fraction form
    31,571.54/43,584.48 = 19,638.72/x
  3. Step 3: Cross multiply
    31,571.54x = 43,584.48 × 19,638.72
  4. Step 4: Simplify right side
    31,571.54x = 855,943,399.07
  5. Step 5: Solve for x
    x = 855,943,399.07/31,571.54
  6. Step 6: Final answer
    x = 27,111.23

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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.