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Finding the Fourth Proportional to 31,399.88, 43,327.22 and 17,969

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Solution

The fourth proportional to 31,399.88, 43,327.22 and 17,969 is: 24,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,399.88 : 43,327.22 = 17,969 : x
  2. Step 2: Convert to fraction form
    31,399.88/43,327.22 = 17,969/x
  3. Step 3: Cross multiply
    31,399.88x = 43,327.22 × 17,969
  4. Step 4: Simplify right side
    31,399.88x = 778,546,816.18
  5. Step 5: Solve for x
    x = 778,546,816.18/31,399.88
  6. Step 6: Final answer
    x = 24,794.58

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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.