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Finding the Fourth Proportional to 110,626.41, 165,940.53 and 31,743.12

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Solution

The fourth proportional to 110,626.41, 165,940.53 and 31,743.12 is: 47,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,626.41 : 165,940.53 = 31,743.12 : x
  2. Step 2: Convert to fraction form
    110,626.41/165,940.53 = 31,743.12/x
  3. Step 3: Cross multiply
    110,626.41x = 165,940.53 × 31,743.12
  4. Step 4: Simplify right side
    110,626.41x = 5,267,470,156.65
  5. Step 5: Solve for x
    x = 5,267,470,156.65/110,626.41
  6. Step 6: Final answer
    x = 47,614.94

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1.5x scale

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.