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Finding the Fourth Proportional to 76,874.36, 106,093.92 and 48,198.56

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Solution

The fourth proportional to 76,874.36, 106,093.92 and 48,198.56 is: 66,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,874.36 : 106,093.92 = 48,198.56 : x
  2. Step 2: Convert to fraction form
    76,874.36/106,093.92 = 48,198.56/x
  3. Step 3: Cross multiply
    76,874.36x = 106,093.92 × 48,198.56
  4. Step 4: Simplify right side
    76,874.36x = 5,113,574,168.76
  5. Step 5: Solve for x
    x = 5,113,574,168.76/76,874.36
  6. Step 6: Final answer
    x = 66,518.59

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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.