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Finding the Fourth Proportional to 106,763.67, 160,143.48 and 31,884.03

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Solution

The fourth proportional to 106,763.67, 160,143.48 and 31,884.03 is: 47,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,763.67 : 160,143.48 = 31,884.03 : x
  2. Step 2: Convert to fraction form
    106,763.67/160,143.48 = 31,884.03/x
  3. Step 3: Cross multiply
    106,763.67x = 160,143.48 × 31,884.03
  4. Step 4: Simplify right side
    106,763.67x = 5,106,019,520.62
  5. Step 5: Solve for x
    x = 5,106,019,520.62/106,763.67
  6. Step 6: Final answer
    x = 47,825.44

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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.