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Finding the Fourth Proportional to 57,994.38, 80,028.46 and 34,116.44

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Solution

The fourth proportional to 57,994.38, 80,028.46 and 34,116.44 is: 47,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,994.38 : 80,028.46 = 34,116.44 : x
  2. Step 2: Convert to fraction form
    57,994.38/80,028.46 = 34,116.44/x
  3. Step 3: Cross multiply
    57,994.38x = 80,028.46 × 34,116.44
  4. Step 4: Simplify right side
    57,994.38x = 2,730,286,054.64
  5. Step 5: Solve for x
    x = 2,730,286,054.64/57,994.38
  6. Step 6: Final answer
    x = 47,078.46

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Why These Related Problems?

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