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Finding the Fourth Proportional to 50,653.69, 69,896.04 and 27,991.39

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Solution

The fourth proportional to 50,653.69, 69,896.04 and 27,991.39 is: 38,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.69 : 69,896.04 = 27,991.39 : x
  2. Step 2: Convert to fraction form
    50,653.69/69,896.04 = 27,991.39/x
  3. Step 3: Cross multiply
    50,653.69x = 69,896.04 × 27,991.39
  4. Step 4: Simplify right side
    50,653.69x = 1,956,487,315.10
  5. Step 5: Solve for x
    x = 1,956,487,315.10/50,653.69
  6. Step 6: Final answer
    x = 38,624.77

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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.