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Finding the Fourth Proportional to 50,857.96, 76,308 and 27,456.88

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Solution

The fourth proportional to 50,857.96, 76,308 and 27,456.88 is: 41,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,857.96 : 76,308 = 27,456.88 : x
  2. Step 2: Convert to fraction form
    50,857.96/76,308 = 27,456.88/x
  3. Step 3: Cross multiply
    50,857.96x = 76,308 × 27,456.88
  4. Step 4: Simplify right side
    50,857.96x = 2,095,179,599.04
  5. Step 5: Solve for x
    x = 2,095,179,599.04/50,857.96
  6. Step 6: Final answer
    x = 41,196.69

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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.