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Finding the Fourth Proportional to 111,664.56, 167,522.75 and 36,782.02

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Solution

The fourth proportional to 111,664.56, 167,522.75 and 36,782.02 is: 55,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,664.56 : 167,522.75 = 36,782.02 : x
  2. Step 2: Convert to fraction form
    111,664.56/167,522.75 = 36,782.02/x
  3. Step 3: Cross multiply
    111,664.56x = 167,522.75 × 36,782.02
  4. Step 4: Simplify right side
    111,664.56x = 6,161,825,140.96
  5. Step 5: Solve for x
    x = 6,161,825,140.96/111,664.56
  6. Step 6: Final answer
    x = 55,181.56

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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.