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Finding the Fourth Proportional to 49,265.38, 67,986.49 and 26,909.38

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Solution

The fourth proportional to 49,265.38, 67,986.49 and 26,909.38 is: 37,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,265.38 : 67,986.49 = 26,909.38 : x
  2. Step 2: Convert to fraction form
    49,265.38/67,986.49 = 26,909.38/x
  3. Step 3: Cross multiply
    49,265.38x = 67,986.49 × 26,909.38
  4. Step 4: Simplify right side
    49,265.38x = 1,829,474,294.28
  5. Step 5: Solve for x
    x = 1,829,474,294.28/49,265.38
  6. Step 6: Final answer
    x = 37,135.09

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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.