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Finding the Fourth Proportional to 111,597.65, 167,405.03 and 31,634.28

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Solution

The fourth proportional to 111,597.65, 167,405.03 and 31,634.28 is: 47,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,597.65 : 167,405.03 = 31,634.28 : x
  2. Step 2: Convert to fraction form
    111,597.65/167,405.03 = 31,634.28/x
  3. Step 3: Cross multiply
    111,597.65x = 167,405.03 × 31,634.28
  4. Step 4: Simplify right side
    111,597.65x = 5,295,737,552.89
  5. Step 5: Solve for x
    x = 5,295,737,552.89/111,597.65
  6. Step 6: Final answer
    x = 47,453.85

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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.