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Finding the Fourth Proportional to 50,464.49, 69,638.63 and 27,802.37

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Solution

The fourth proportional to 50,464.49, 69,638.63 and 27,802.37 is: 38,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,464.49 : 69,638.63 = 27,802.37 : x
  2. Step 2: Convert to fraction form
    50,464.49/69,638.63 = 27,802.37/x
  3. Step 3: Cross multiply
    50,464.49x = 69,638.63 × 27,802.37
  4. Step 4: Simplify right side
    50,464.49x = 1,936,118,992.64
  5. Step 5: Solve for x
    x = 1,936,118,992.64/50,464.49
  6. Step 6: Final answer
    x = 38,365.97

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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.