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Finding the Fourth Proportional to 50,196.86, 69,273.16 and 27,840.38

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Solution

The fourth proportional to 50,196.86, 69,273.16 and 27,840.38 is: 38,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,196.86 : 69,273.16 = 27,840.38 : x
  2. Step 2: Convert to fraction form
    50,196.86/69,273.16 = 27,840.38/x
  3. Step 3: Cross multiply
    50,196.86x = 69,273.16 × 27,840.38
  4. Step 4: Simplify right side
    50,196.86x = 1,928,590,682.23
  5. Step 5: Solve for x
    x = 1,928,590,682.23/50,196.86
  6. Step 6: Final answer
    x = 38,420.55

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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.