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Finding the Fourth Proportional to 111,993.64, 167,988.34 and 27,754

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Solution

The fourth proportional to 111,993.64, 167,988.34 and 27,754 is: 41,630.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,993.64 : 167,988.34 = 27,754 : x
  2. Step 2: Convert to fraction form
    111,993.64/167,988.34 = 27,754/x
  3. Step 3: Cross multiply
    111,993.64x = 167,988.34 × 27,754
  4. Step 4: Simplify right side
    111,993.64x = 4,662,348,388.36
  5. Step 5: Solve for x
    x = 4,662,348,388.36/111,993.64
  6. Step 6: Final answer
    x = 41,630.47

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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.