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Finding the Fourth Proportional to 31,745.60, 43,809.46 and 17,405.13

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Solution

The fourth proportional to 31,745.60, 43,809.46 and 17,405.13 is: 24,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.60 : 43,809.46 = 17,405.13 : x
  2. Step 2: Convert to fraction form
    31,745.60/43,809.46 = 17,405.13/x
  3. Step 3: Cross multiply
    31,745.60x = 43,809.46 × 17,405.13
  4. Step 4: Simplify right side
    31,745.60x = 762,509,220.87
  5. Step 5: Solve for x
    x = 762,509,220.87/31,745.60
  6. Step 6: Final answer
    x = 24,019.37

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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.