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Finding the Fourth Proportional to 37,471.28, 51,710.24 and 20,704.24

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Solution

The fourth proportional to 37,471.28, 51,710.24 and 20,704.24 is: 28,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,471.28 : 51,710.24 = 20,704.24 : x
  2. Step 2: Convert to fraction form
    37,471.28/51,710.24 = 20,704.24/x
  3. Step 3: Cross multiply
    37,471.28x = 51,710.24 × 20,704.24
  4. Step 4: Simplify right side
    37,471.28x = 1,070,621,219.42
  5. Step 5: Solve for x
    x = 1,070,621,219.42/37,471.28
  6. Step 6: Final answer
    x = 28,571.78

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1.5x scale

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.