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Finding the Fourth Proportional to 50,139, 69,196.68 and 27,783

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Solution

The fourth proportional to 50,139, 69,196.68 and 27,783 is: 38,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,139 : 69,196.68 = 27,783 : x
  2. Step 2: Convert to fraction form
    50,139/69,196.68 = 27,783/x
  3. Step 3: Cross multiply
    50,139x = 69,196.68 × 27,783
  4. Step 4: Simplify right side
    50,139x = 1,922,491,360.44
  5. Step 5: Solve for x
    x = 1,922,491,360.44/50,139
  6. Step 6: Final answer
    x = 38,343.23

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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.