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Finding the Fourth Proportional to 49,069, 67,715.31 and 26,713

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Solution

The fourth proportional to 49,069, 67,715.31 and 26,713 is: 36,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,069 : 67,715.31 = 26,713 : x
  2. Step 2: Convert to fraction form
    49,069/67,715.31 = 26,713/x
  3. Step 3: Cross multiply
    49,069x = 67,715.31 × 26,713
  4. Step 4: Simplify right side
    49,069x = 1,808,879,076.03
  5. Step 5: Solve for x
    x = 1,808,879,076.03/49,069
  6. Step 6: Final answer
    x = 36,863.99

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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.