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Finding the Fourth Proportional to 49,932.48, 68,906.40 and 27,576

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Solution

The fourth proportional to 49,932.48, 68,906.40 and 27,576 is: 38,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,932.48 : 68,906.40 = 27,576 : x
  2. Step 2: Convert to fraction form
    49,932.48/68,906.40 = 27,576/x
  3. Step 3: Cross multiply
    49,932.48x = 68,906.40 × 27,576
  4. Step 4: Simplify right side
    49,932.48x = 1,900,162,886.40
  5. Step 5: Solve for x
    x = 1,900,162,886.40/49,932.48
  6. Step 6: Final answer
    x = 38,054.65

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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.