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Finding the Fourth Proportional to 111,473.50, 167,232.12 and 49,144

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Solution

The fourth proportional to 111,473.50, 167,232.12 and 49,144 is: 73,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,473.50 : 167,232.12 = 49,144 : x
  2. Step 2: Convert to fraction form
    111,473.50/167,232.12 = 49,144/x
  3. Step 3: Cross multiply
    111,473.50x = 167,232.12 × 49,144
  4. Step 4: Simplify right side
    111,473.50x = 8,218,455,305.28
  5. Step 5: Solve for x
    x = 8,218,455,305.28/111,473.50
  6. Step 6: Final answer
    x = 73,725.64

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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.