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Finding the Fourth Proportional to 111,722.61, 167,548.31 and 36,828.80

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Solution

The fourth proportional to 111,722.61, 167,548.31 and 36,828.80 is: 55,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,722.61 : 167,548.31 = 36,828.80 : x
  2. Step 2: Convert to fraction form
    111,722.61/167,548.31 = 36,828.80/x
  3. Step 3: Cross multiply
    111,722.61x = 167,548.31 × 36,828.80
  4. Step 4: Simplify right side
    111,722.61x = 6,170,603,199.33
  5. Step 5: Solve for x
    x = 6,170,603,199.33/111,722.61
  6. Step 6: Final answer
    x = 55,231.46

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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.