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Finding the Fourth Proportional to 110,794.30, 166,191.45 and 31,911.10

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Solution

The fourth proportional to 110,794.30, 166,191.45 and 31,911.10 is: 47,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,794.30 : 166,191.45 = 31,911.10 : x
  2. Step 2: Convert to fraction form
    110,794.30/166,191.45 = 31,911.10/x
  3. Step 3: Cross multiply
    110,794.30x = 166,191.45 × 31,911.10
  4. Step 4: Simplify right side
    110,794.30x = 5,303,351,980.10
  5. Step 5: Solve for x
    x = 5,303,351,980.10/110,794.30
  6. Step 6: Final answer
    x = 47,866.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.