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Finding the Fourth Proportional to 31,745.70, 43,806.70 and 17,403.23

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Solution

The fourth proportional to 31,745.70, 43,806.70 and 17,403.23 is: 24,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.70 : 43,806.70 = 17,403.23 : x
  2. Step 2: Convert to fraction form
    31,745.70/43,806.70 = 17,403.23/x
  3. Step 3: Cross multiply
    31,745.70x = 43,806.70 × 17,403.23
  4. Step 4: Simplify right side
    31,745.70x = 762,378,075.64
  5. Step 5: Solve for x
    x = 762,378,075.64/31,745.70
  6. Step 6: Final answer
    x = 24,015.16

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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.