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Finding the Fourth Proportional to 49,269, 67,991.22 and 26,913

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Solution

The fourth proportional to 49,269, 67,991.22 and 26,913 is: 37,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,269 : 67,991.22 = 26,913 : x
  2. Step 2: Convert to fraction form
    49,269/67,991.22 = 26,913/x
  3. Step 3: Cross multiply
    49,269x = 67,991.22 × 26,913
  4. Step 4: Simplify right side
    49,269x = 1,829,847,703.86
  5. Step 5: Solve for x
    x = 1,829,847,703.86/49,269
  6. Step 6: Final answer
    x = 37,139.94

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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.