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Finding the Fourth Proportional to 57,056.94, 78,738.12 and 31,906.44

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Solution

The fourth proportional to 57,056.94, 78,738.12 and 31,906.44 is: 44,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056.94 : 78,738.12 = 31,906.44 : x
  2. Step 2: Convert to fraction form
    57,056.94/78,738.12 = 31,906.44/x
  3. Step 3: Cross multiply
    57,056.94x = 78,738.12 × 31,906.44
  4. Step 4: Simplify right side
    57,056.94x = 2,512,253,101.49
  5. Step 5: Solve for x
    x = 2,512,253,101.49/57,056.94
  6. Step 6: Final answer
    x = 44,030.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.