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Finding the Fourth Proportional to 110,695.58, 166,025.54 and 31,791.86

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Solution

The fourth proportional to 110,695.58, 166,025.54 and 31,791.86 is: 47,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,695.58 : 166,025.54 = 31,791.86 : x
  2. Step 2: Convert to fraction form
    110,695.58/166,025.54 = 31,791.86/x
  3. Step 3: Cross multiply
    110,695.58x = 166,025.54 × 31,791.86
  4. Step 4: Simplify right side
    110,695.58x = 5,278,260,724.10
  5. Step 5: Solve for x
    x = 5,278,260,724.10/110,695.58
  6. Step 6: Final answer
    x = 47,682.67

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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.