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Finding the Fourth Proportional to 111,777.86, 167,661.92 and 27,534.02

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Solution

The fourth proportional to 111,777.86, 167,661.92 and 27,534.02 is: 41,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,777.86 : 167,661.92 = 27,534.02 : x
  2. Step 2: Convert to fraction form
    111,777.86/167,661.92 = 27,534.02/x
  3. Step 3: Cross multiply
    111,777.86x = 167,661.92 × 27,534.02
  4. Step 4: Simplify right side
    111,777.86x = 4,616,405,682.54
  5. Step 5: Solve for x
    x = 4,616,405,682.54/111,777.86
  6. Step 6: Final answer
    x = 41,299.82

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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.