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Finding the Fourth Proportional to 38,622, 57,954.90 and 20,852.42

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Solution

The fourth proportional to 38,622, 57,954.90 and 20,852.42 is: 31,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,622 : 57,954.90 = 20,852.42 : x
  2. Step 2: Convert to fraction form
    38,622/57,954.90 = 20,852.42/x
  3. Step 3: Cross multiply
    38,622x = 57,954.90 × 20,852.42
  4. Step 4: Simplify right side
    38,622x = 1,208,499,915.86
  5. Step 5: Solve for x
    x = 1,208,499,915.86/38,622
  6. Step 6: Final answer
    x = 31,290.45

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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.