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Finding the Fourth Proportional to 30,881.89, 42,620.78 and 20,138.25

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Solution

The fourth proportional to 30,881.89, 42,620.78 and 20,138.25 is: 27,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881.89 : 42,620.78 = 20,138.25 : x
  2. Step 2: Convert to fraction form
    30,881.89/42,620.78 = 20,138.25/x
  3. Step 3: Cross multiply
    30,881.89x = 42,620.78 × 20,138.25
  4. Step 4: Simplify right side
    30,881.89x = 858,308,133.01
  5. Step 5: Solve for x
    x = 858,308,133.01/30,881.89
  6. Step 6: Final answer
    x = 27,793.25

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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.