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Finding the Fourth Proportional to 111,048.63, 166,573.01 and 27,942.63

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Solution

The fourth proportional to 111,048.63, 166,573.01 and 27,942.63 is: 41,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,048.63 : 166,573.01 = 27,942.63 : x
  2. Step 2: Convert to fraction form
    111,048.63/166,573.01 = 27,942.63/x
  3. Step 3: Cross multiply
    111,048.63x = 166,573.01 × 27,942.63
  4. Step 4: Simplify right side
    111,048.63x = 4,654,487,986.42
  5. Step 5: Solve for x
    x = 4,654,487,986.42/111,048.63
  6. Step 6: Final answer
    x = 41,913.96

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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.