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Finding the Fourth Proportional to 31,842.28, 43,930.98 and 21,889

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Solution

The fourth proportional to 31,842.28, 43,930.98 and 21,889 is: 30,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.28 : 43,930.98 = 21,889 : x
  2. Step 2: Convert to fraction form
    31,842.28/43,930.98 = 21,889/x
  3. Step 3: Cross multiply
    31,842.28x = 43,930.98 × 21,889
  4. Step 4: Simplify right side
    31,842.28x = 961,605,221.22
  5. Step 5: Solve for x
    x = 961,605,221.22/31,842.28
  6. Step 6: Final answer
    x = 30,199.01

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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.