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Finding the Fourth Proportional to 49,037, 67,672.14 and 26,681

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Solution

The fourth proportional to 49,037, 67,672.14 and 26,681 is: 36,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,037 : 67,672.14 = 26,681 : x
  2. Step 2: Convert to fraction form
    49,037/67,672.14 = 26,681/x
  3. Step 3: Cross multiply
    49,037x = 67,672.14 × 26,681
  4. Step 4: Simplify right side
    49,037x = 1,805,560,367.34
  5. Step 5: Solve for x
    x = 1,805,560,367.34/49,037
  6. Step 6: Final answer
    x = 36,820.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.