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Finding the Fourth Proportional to 38,414.40, 57,670.20 and 20,659.20

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Solution

The fourth proportional to 38,414.40, 57,670.20 and 20,659.20 is: 31,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.40 : 57,670.20 = 20,659.20 : x
  2. Step 2: Convert to fraction form
    38,414.40/57,670.20 = 20,659.20/x
  3. Step 3: Cross multiply
    38,414.40x = 57,670.20 × 20,659.20
  4. Step 4: Simplify right side
    38,414.40x = 1,191,420,195.84
  5. Step 5: Solve for x
    x = 1,191,420,195.84/38,414.40
  6. Step 6: Final answer
    x = 31,014.94

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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.