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Finding the Fourth Proportional to 51,843.36, 77,777.36 and 16,783

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Solution

The fourth proportional to 51,843.36, 77,777.36 and 16,783 is: 25,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,843.36 : 77,777.36 = 16,783 : x
  2. Step 2: Convert to fraction form
    51,843.36/77,777.36 = 16,783/x
  3. Step 3: Cross multiply
    51,843.36x = 77,777.36 × 16,783
  4. Step 4: Simplify right side
    51,843.36x = 1,305,337,432.88
  5. Step 5: Solve for x
    x = 1,305,337,432.88/51,843.36
  6. Step 6: Final answer
    x = 25,178.49

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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.