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Finding the Fourth Proportional to 30,523.56, 42,121.80 and 17,949.12

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Solution

The fourth proportional to 30,523.56, 42,121.80 and 17,949.12 is: 24,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.56 : 42,121.80 = 17,949.12 : x
  2. Step 2: Convert to fraction form
    30,523.56/42,121.80 = 17,949.12/x
  3. Step 3: Cross multiply
    30,523.56x = 42,121.80 × 17,949.12
  4. Step 4: Simplify right side
    30,523.56x = 756,049,242.82
  5. Step 5: Solve for x
    x = 756,049,242.82/30,523.56
  6. Step 6: Final answer
    x = 24,769.37

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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.