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Finding the Fourth Proportional to 50,905.60, 76,431.30 and 38,512.60

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Solution

The fourth proportional to 50,905.60, 76,431.30 and 38,512.60 is: 57,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,905.60 : 76,431.30 = 38,512.60 : x
  2. Step 2: Convert to fraction form
    50,905.60/76,431.30 = 38,512.60/x
  3. Step 3: Cross multiply
    50,905.60x = 76,431.30 × 38,512.60
  4. Step 4: Simplify right side
    50,905.60x = 2,943,568,084.38
  5. Step 5: Solve for x
    x = 2,943,568,084.38/50,905.60
  6. Step 6: Final answer
    x = 57,824.05

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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.