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Finding the Fourth Proportional to 111,978.32, 167,976.40 and 37,095.44

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Solution

The fourth proportional to 111,978.32, 167,976.40 and 37,095.44 is: 55,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,978.32 : 167,976.40 = 37,095.44 : x
  2. Step 2: Convert to fraction form
    111,978.32/167,976.40 = 37,095.44/x
  3. Step 3: Cross multiply
    111,978.32x = 167,976.40 × 37,095.44
  4. Step 4: Simplify right side
    111,978.32x = 6,231,158,467.62
  5. Step 5: Solve for x
    x = 6,231,158,467.62/111,978.32
  6. Step 6: Final answer
    x = 55,646.11

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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.