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Finding the Fourth Proportional to 31,342.90, 43,229.02 and 21,782.60

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Solution

The fourth proportional to 31,342.90, 43,229.02 and 21,782.60 is: 30,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.90 : 43,229.02 = 21,782.60 : x
  2. Step 2: Convert to fraction form
    31,342.90/43,229.02 = 21,782.60/x
  3. Step 3: Cross multiply
    31,342.90x = 43,229.02 × 21,782.60
  4. Step 4: Simplify right side
    31,342.90x = 941,640,200.56
  5. Step 5: Solve for x
    x = 941,640,200.56/31,342.90
  6. Step 6: Final answer
    x = 30,043.17

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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.