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Finding the Fourth Proportional to 70,183.06, 96,858.38 and 39,977.84

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Solution

The fourth proportional to 70,183.06, 96,858.38 and 39,977.84 is: 55,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,183.06 : 96,858.38 = 39,977.84 : x
  2. Step 2: Convert to fraction form
    70,183.06/96,858.38 = 39,977.84/x
  3. Step 3: Cross multiply
    70,183.06x = 96,858.38 × 39,977.84
  4. Step 4: Simplify right side
    70,183.06x = 3,872,188,818.30
  5. Step 5: Solve for x
    x = 3,872,188,818.30/70,183.06
  6. Step 6: Final answer
    x = 55,172.70

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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.