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Finding the Fourth Proportional to 49,187, 67,878.06 and 26,831

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Solution

The fourth proportional to 49,187, 67,878.06 and 26,831 is: 37,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,187 : 67,878.06 = 26,831 : x
  2. Step 2: Convert to fraction form
    49,187/67,878.06 = 26,831/x
  3. Step 3: Cross multiply
    49,187x = 67,878.06 × 26,831
  4. Step 4: Simplify right side
    49,187x = 1,821,236,227.86
  5. Step 5: Solve for x
    x = 1,821,236,227.86/49,187
  6. Step 6: Final answer
    x = 37,026.78

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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.