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Finding the Fourth Proportional to 110,115.94, 165,173.91 and 31,220.32

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Solution

The fourth proportional to 110,115.94, 165,173.91 and 31,220.32 is: 46,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,115.94 : 165,173.91 = 31,220.32 : x
  2. Step 2: Convert to fraction form
    110,115.94/165,173.91 = 31,220.32/x
  3. Step 3: Cross multiply
    110,115.94x = 165,173.91 × 31,220.32
  4. Step 4: Simplify right side
    110,115.94x = 5,156,782,325.85
  5. Step 5: Solve for x
    x = 5,156,782,325.85/110,115.94
  6. Step 6: Final answer
    x = 46,830.48

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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.