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Finding the Fourth Proportional to 27,957.88, 41,944.02 and 8,235.64

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Solution

The fourth proportional to 27,957.88, 41,944.02 and 8,235.64 is: 12,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.88 : 41,944.02 = 8,235.64 : x
  2. Step 2: Convert to fraction form
    27,957.88/41,944.02 = 8,235.64/x
  3. Step 3: Cross multiply
    27,957.88x = 41,944.02 × 8,235.64
  4. Step 4: Simplify right side
    27,957.88x = 345,435,848.87
  5. Step 5: Solve for x
    x = 345,435,848.87/27,957.88
  6. Step 6: Final answer
    x = 12,355.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.