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Finding the Fourth Proportional to 48,793.84, 73,190.76 and 11,857.84

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Solution

The fourth proportional to 48,793.84, 73,190.76 and 11,857.84 is: 17,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,793.84 : 73,190.76 = 11,857.84 : x
  2. Step 2: Convert to fraction form
    48,793.84/73,190.76 = 11,857.84/x
  3. Step 3: Cross multiply
    48,793.84x = 73,190.76 × 11,857.84
  4. Step 4: Simplify right side
    48,793.84x = 867,884,321.56
  5. Step 5: Solve for x
    x = 867,884,321.56/48,793.84
  6. Step 6: Final answer
    x = 17,786.76

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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.