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Finding the Fourth Proportional to 110,317.33, 165,476 and 31,431.43

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Solution

The fourth proportional to 110,317.33, 165,476 and 31,431.43 is: 47,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,317.33 : 165,476 = 31,431.43 : x
  2. Step 2: Convert to fraction form
    110,317.33/165,476 = 31,431.43/x
  3. Step 3: Cross multiply
    110,317.33x = 165,476 × 31,431.43
  4. Step 4: Simplify right side
    110,317.33x = 5,201,147,310.68
  5. Step 5: Solve for x
    x = 5,201,147,310.68/110,317.33
  6. Step 6: Final answer
    x = 47,147.15

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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.