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Finding the Fourth Proportional to 37,530, 51,793.02 and 20,763

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Solution

The fourth proportional to 37,530, 51,793.02 and 20,763 is: 28,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,530 : 51,793.02 = 20,763 : x
  2. Step 2: Convert to fraction form
    37,530/51,793.02 = 20,763/x
  3. Step 3: Cross multiply
    37,530x = 51,793.02 × 20,763
  4. Step 4: Simplify right side
    37,530x = 1,075,378,474.26
  5. Step 5: Solve for x
    x = 1,075,378,474.26/37,530
  6. Step 6: Final answer
    x = 28,653.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.