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Finding the Fourth Proportional to 111,232.14, 166,846.82 and 26,993

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Solution

The fourth proportional to 111,232.14, 166,846.82 and 26,993 is: 40,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,232.14 : 166,846.82 = 26,993 : x
  2. Step 2: Convert to fraction form
    111,232.14/166,846.82 = 26,993/x
  3. Step 3: Cross multiply
    111,232.14x = 166,846.82 × 26,993
  4. Step 4: Simplify right side
    111,232.14x = 4,503,696,212.26
  5. Step 5: Solve for x
    x = 4,503,696,212.26/111,232.14
  6. Step 6: Final answer
    x = 40,489.16

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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.