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Finding the Fourth Proportional to 38,053.42, 57,096.54 and 20,519.20

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Solution

The fourth proportional to 38,053.42, 57,096.54 and 20,519.20 is: 30,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,053.42 : 57,096.54 = 20,519.20 : x
  2. Step 2: Convert to fraction form
    38,053.42/57,096.54 = 20,519.20/x
  3. Step 3: Cross multiply
    38,053.42x = 57,096.54 × 20,519.20
  4. Step 4: Simplify right side
    38,053.42x = 1,171,575,323.57
  5. Step 5: Solve for x
    x = 1,171,575,323.57/38,053.42
  6. Step 6: Final answer
    x = 30,787.65

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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.