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Finding the Fourth Proportional to 110,105.10, 165,163.93 and 31,213.13

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Solution

The fourth proportional to 110,105.10, 165,163.93 and 31,213.13 is: 46,821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,105.10 : 165,163.93 = 31,213.13 : x
  2. Step 2: Convert to fraction form
    110,105.10/165,163.93 = 31,213.13/x
  3. Step 3: Cross multiply
    110,105.10x = 165,163.93 × 31,213.13
  4. Step 4: Simplify right side
    110,105.10x = 5,155,282,314.55
  5. Step 5: Solve for x
    x = 5,155,282,314.55/110,105.10
  6. Step 6: Final answer
    x = 46,821.47

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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.