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Finding the Fourth Proportional to 49,214, 73,821 and 15,961.88

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Solution

The fourth proportional to 49,214, 73,821 and 15,961.88 is: 23,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,214 : 73,821 = 15,961.88 : x
  2. Step 2: Convert to fraction form
    49,214/73,821 = 15,961.88/x
  3. Step 3: Cross multiply
    49,214x = 73,821 × 15,961.88
  4. Step 4: Simplify right side
    49,214x = 1,178,321,943.48
  5. Step 5: Solve for x
    x = 1,178,321,943.48/49,214
  6. Step 6: Final answer
    x = 23,942.82

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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.