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Finding the Fourth Proportional to 49,643.48, 68,508.50 and 26,982.48

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Solution

The fourth proportional to 49,643.48, 68,508.50 and 26,982.48 is: 37,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,643.48 : 68,508.50 = 26,982.48 : x
  2. Step 2: Convert to fraction form
    49,643.48/68,508.50 = 26,982.48/x
  3. Step 3: Cross multiply
    49,643.48x = 68,508.50 × 26,982.48
  4. Step 4: Simplify right side
    49,643.48x = 1,848,529,231.08
  5. Step 5: Solve for x
    x = 1,848,529,231.08/49,643.48
  6. Step 6: Final answer
    x = 37,236.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.