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Finding the Fourth Proportional to 111,393.64, 167,106.38 and 36,497.80

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Solution

The fourth proportional to 111,393.64, 167,106.38 and 36,497.80 is: 54,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,393.64 : 167,106.38 = 36,497.80 : x
  2. Step 2: Convert to fraction form
    111,393.64/167,106.38 = 36,497.80/x
  3. Step 3: Cross multiply
    111,393.64x = 167,106.38 × 36,497.80
  4. Step 4: Simplify right side
    111,393.64x = 6,099,015,235.96
  5. Step 5: Solve for x
    x = 6,099,015,235.96/111,393.64
  6. Step 6: Final answer
    x = 54,751.92

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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.