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Finding the Fourth Proportional to 111,422.88, 167,138.32 and 36,544.80

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Solution

The fourth proportional to 111,422.88, 167,138.32 and 36,544.80 is: 54,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,422.88 : 167,138.32 = 36,544.80 : x
  2. Step 2: Convert to fraction form
    111,422.88/167,138.32 = 36,544.80/x
  3. Step 3: Cross multiply
    111,422.88x = 167,138.32 × 36,544.80
  4. Step 4: Simplify right side
    111,422.88x = 6,108,036,476.74
  5. Step 5: Solve for x
    x = 6,108,036,476.74/111,422.88
  6. Step 6: Final answer
    x = 54,818.51

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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.