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Finding the Fourth Proportional to 111,967.16, 167,963.38 and 37,097.08

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Solution

The fourth proportional to 111,967.16, 167,963.38 and 37,097.08 is: 55,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,967.16 : 167,963.38 = 37,097.08 : x
  2. Step 2: Convert to fraction form
    111,967.16/167,963.38 = 37,097.08/x
  3. Step 3: Cross multiply
    111,967.16x = 167,963.38 × 37,097.08
  4. Step 4: Simplify right side
    111,967.16x = 6,230,950,944.93
  5. Step 5: Solve for x
    x = 6,230,950,944.93/111,967.16
  6. Step 6: Final answer
    x = 55,649.81

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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.