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Finding the Fourth Proportional to 30,806.28, 42,523.56 and 18,231

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Solution

The fourth proportional to 30,806.28, 42,523.56 and 18,231 is: 25,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.28 : 42,523.56 = 18,231 : x
  2. Step 2: Convert to fraction form
    30,806.28/42,523.56 = 18,231/x
  3. Step 3: Cross multiply
    30,806.28x = 42,523.56 × 18,231
  4. Step 4: Simplify right side
    30,806.28x = 775,247,022.36
  5. Step 5: Solve for x
    x = 775,247,022.36/30,806.28
  6. Step 6: Final answer
    x = 25,165.23

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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.