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Finding the Fourth Proportional to 31,645.98, 43,674.12 and 18,221.58

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Solution

The fourth proportional to 31,645.98, 43,674.12 and 18,221.58 is: 25,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,645.98 : 43,674.12 = 18,221.58 : x
  2. Step 2: Convert to fraction form
    31,645.98/43,674.12 = 18,221.58/x
  3. Step 3: Cross multiply
    31,645.98x = 43,674.12 × 18,221.58
  4. Step 4: Simplify right side
    31,645.98x = 795,811,471.51
  5. Step 5: Solve for x
    x = 795,811,471.51/31,645.98
  6. Step 6: Final answer
    x = 25,147.32

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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.