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Finding the Fourth Proportional to 38,523.20, 57,784.80 and 21,027.20

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Solution

The fourth proportional to 38,523.20, 57,784.80 and 21,027.20 is: 31,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523.20 : 57,784.80 = 21,027.20 : x
  2. Step 2: Convert to fraction form
    38,523.20/57,784.80 = 21,027.20/x
  3. Step 3: Cross multiply
    38,523.20x = 57,784.80 × 21,027.20
  4. Step 4: Simplify right side
    38,523.20x = 1,215,052,546.56
  5. Step 5: Solve for x
    x = 1,215,052,546.56/38,523.20
  6. Step 6: Final answer
    x = 31,540.80

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1.5x scale

Why These Related Problems?

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