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Finding the Fourth Proportional to 30,961.66, 42,744.81 and 20,382.05

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Solution

The fourth proportional to 30,961.66, 42,744.81 and 20,382.05 is: 28,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.66 : 42,744.81 = 20,382.05 : x
  2. Step 2: Convert to fraction form
    30,961.66/42,744.81 = 20,382.05/x
  3. Step 3: Cross multiply
    30,961.66x = 42,744.81 × 20,382.05
  4. Step 4: Simplify right side
    30,961.66x = 871,226,625.54
  5. Step 5: Solve for x
    x = 871,226,625.54/30,961.66
  6. Step 6: Final answer
    x = 28,138.89

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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.