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Finding the Fourth Proportional to 43,986.20, 65,978.37 and 10,706.45

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Solution

The fourth proportional to 43,986.20, 65,978.37 and 10,706.45 is: 16,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,986.20 : 65,978.37 = 10,706.45 : x
  2. Step 2: Convert to fraction form
    43,986.20/65,978.37 = 10,706.45/x
  3. Step 3: Cross multiply
    43,986.20x = 65,978.37 × 10,706.45
  4. Step 4: Simplify right side
    43,986.20x = 706,393,736.06
  5. Step 5: Solve for x
    x = 706,393,736.06/43,986.20
  6. Step 6: Final answer
    x = 16,059.44

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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.