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Finding the Fourth Proportional to 38,057.42, 57,102.54 and 20,523.20

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Solution

The fourth proportional to 38,057.42, 57,102.54 and 20,523.20 is: 30,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.42 : 57,102.54 = 20,523.20 : x
  2. Step 2: Convert to fraction form
    38,057.42/57,102.54 = 20,523.20/x
  3. Step 3: Cross multiply
    38,057.42x = 57,102.54 × 20,523.20
  4. Step 4: Simplify right side
    38,057.42x = 1,171,926,848.93
  5. Step 5: Solve for x
    x = 1,171,926,848.93/38,057.42
  6. Step 6: Final answer
    x = 30,793.65

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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.