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Finding the Fourth Proportional to 111,110.42, 166,635.90 and 31,143.90

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Solution

The fourth proportional to 111,110.42, 166,635.90 and 31,143.90 is: 46,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,110.42 : 166,635.90 = 31,143.90 : x
  2. Step 2: Convert to fraction form
    111,110.42/166,635.90 = 31,143.90/x
  3. Step 3: Cross multiply
    111,110.42x = 166,635.90 × 31,143.90
  4. Step 4: Simplify right side
    111,110.42x = 5,189,691,806.01
  5. Step 5: Solve for x
    x = 5,189,691,806.01/111,110.42
  6. Step 6: Final answer
    x = 46,707.52

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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.