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Finding the Fourth Proportional to 30,961.32, 42,744.33 and 20,381.71

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Solution

The fourth proportional to 30,961.32, 42,744.33 and 20,381.71 is: 28,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.32 : 42,744.33 = 20,381.71 : x
  2. Step 2: Convert to fraction form
    30,961.32/42,744.33 = 20,381.71/x
  3. Step 3: Cross multiply
    30,961.32x = 42,744.33 × 20,381.71
  4. Step 4: Simplify right side
    30,961.32x = 871,202,324.48
  5. Step 5: Solve for x
    x = 871,202,324.48/30,961.32
  6. Step 6: Final answer
    x = 28,138.41

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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.