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Finding the Fourth Proportional to 50,464.01, 69,640.01 and 27,802.48

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Solution

The fourth proportional to 50,464.01, 69,640.01 and 27,802.48 is: 38,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,464.01 : 69,640.01 = 27,802.48 : x
  2. Step 2: Convert to fraction form
    50,464.01/69,640.01 = 27,802.48/x
  3. Step 3: Cross multiply
    50,464.01x = 69,640.01 × 27,802.48
  4. Step 4: Simplify right side
    50,464.01x = 1,936,164,985.22
  5. Step 5: Solve for x
    x = 1,936,164,985.22/50,464.01
  6. Step 6: Final answer
    x = 38,367.24

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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.