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Finding the Fourth Proportional to 43,381, 65,080.68 and 24,670

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Solution

The fourth proportional to 43,381, 65,080.68 and 24,670 is: 37,010.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,381 : 65,080.68 = 24,670 : x
  2. Step 2: Convert to fraction form
    43,381/65,080.68 = 24,670/x
  3. Step 3: Cross multiply
    43,381x = 65,080.68 × 24,670
  4. Step 4: Simplify right side
    43,381x = 1,605,540,375.60
  5. Step 5: Solve for x
    x = 1,605,540,375.60/43,381
  6. Step 6: Final answer
    x = 37,010.22

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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.