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Finding the Fourth Proportional to 49,087.56, 67,738.50 and 27,864

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Solution

The fourth proportional to 49,087.56, 67,738.50 and 27,864 is: 38,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,087.56 : 67,738.50 = 27,864 : x
  2. Step 2: Convert to fraction form
    49,087.56/67,738.50 = 27,864/x
  3. Step 3: Cross multiply
    49,087.56x = 67,738.50 × 27,864
  4. Step 4: Simplify right side
    49,087.56x = 1,887,465,564
  5. Step 5: Solve for x
    x = 1,887,465,564/49,087.56
  6. Step 6: Final answer
    x = 38,451.00

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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.