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Finding the Fourth Proportional to 111,893.34, 167,782.26 and 32,997.30

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Solution

The fourth proportional to 111,893.34, 167,782.26 and 32,997.30 is: 49,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,893.34 : 167,782.26 = 32,997.30 : x
  2. Step 2: Convert to fraction form
    111,893.34/167,782.26 = 32,997.30/x
  3. Step 3: Cross multiply
    111,893.34x = 167,782.26 × 32,997.30
  4. Step 4: Simplify right side
    111,893.34x = 5,536,361,567.90
  5. Step 5: Solve for x
    x = 5,536,361,567.90/111,893.34
  6. Step 6: Final answer
    x = 49,478.92

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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.