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Finding the Fourth Proportional to 37,489.50, 56,241.81 and 16,713

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Solution

The fourth proportional to 37,489.50, 56,241.81 and 16,713 is: 25,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,489.50 : 56,241.81 = 16,713 : x
  2. Step 2: Convert to fraction form
    37,489.50/56,241.81 = 16,713/x
  3. Step 3: Cross multiply
    37,489.50x = 56,241.81 × 16,713
  4. Step 4: Simplify right side
    37,489.50x = 939,969,370.53
  5. Step 5: Solve for x
    x = 939,969,370.53/37,489.50
  6. Step 6: Final answer
    x = 25,072.87

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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.