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Finding the Fourth Proportional to 31,446.36, 43,415.37 and 21,640.50

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Solution

The fourth proportional to 31,446.36, 43,415.37 and 21,640.50 is: 29,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446.36 : 43,415.37 = 21,640.50 : x
  2. Step 2: Convert to fraction form
    31,446.36/43,415.37 = 21,640.50/x
  3. Step 3: Cross multiply
    31,446.36x = 43,415.37 × 21,640.50
  4. Step 4: Simplify right side
    31,446.36x = 939,530,314.49
  5. Step 5: Solve for x
    x = 939,530,314.49/31,446.36
  6. Step 6: Final answer
    x = 29,877.24

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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.