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Finding the Fourth Proportional to 110,105.53, 165,158.25 and 31,220.44

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Solution

The fourth proportional to 110,105.53, 165,158.25 and 31,220.44 is: 46,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,105.53 : 165,158.25 = 31,220.44 : x
  2. Step 2: Convert to fraction form
    110,105.53/165,158.25 = 31,220.44/x
  3. Step 3: Cross multiply
    110,105.53x = 165,158.25 × 31,220.44
  4. Step 4: Simplify right side
    110,105.53x = 5,156,313,234.63
  5. Step 5: Solve for x
    x = 5,156,313,234.63/110,105.53
  6. Step 6: Final answer
    x = 46,830.65

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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.