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Finding the Fourth Proportional to 110,549.37, 165,824.06 and 27,443.37

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Solution

The fourth proportional to 110,549.37, 165,824.06 and 27,443.37 is: 41,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,549.37 : 165,824.06 = 27,443.37 : x
  2. Step 2: Convert to fraction form
    110,549.37/165,824.06 = 27,443.37/x
  3. Step 3: Cross multiply
    110,549.37x = 165,824.06 × 27,443.37
  4. Step 4: Simplify right side
    110,549.37x = 4,550,770,896.27
  5. Step 5: Solve for x
    x = 4,550,770,896.27/110,549.37
  6. Step 6: Final answer
    x = 41,165.06

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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.