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Finding the Fourth Proportional to 49,441.49, 74,189.24 and 20,974.05

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Solution

The fourth proportional to 49,441.49, 74,189.24 and 20,974.05 is: 31,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,441.49 : 74,189.24 = 20,974.05 : x
  2. Step 2: Convert to fraction form
    49,441.49/74,189.24 = 20,974.05/x
  3. Step 3: Cross multiply
    49,441.49x = 74,189.24 × 20,974.05
  4. Step 4: Simplify right side
    49,441.49x = 1,556,048,564.12
  5. Step 5: Solve for x
    x = 1,556,048,564.12/49,441.49
  6. Step 6: Final answer
    x = 31,472.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.