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Finding the Fourth Proportional to 49,943.62, 68,842.14 and 33,805.86

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Solution

The fourth proportional to 49,943.62, 68,842.14 and 33,805.86 is: 46,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,943.62 : 68,842.14 = 33,805.86 : x
  2. Step 2: Convert to fraction form
    49,943.62/68,842.14 = 33,805.86/x
  3. Step 3: Cross multiply
    49,943.62x = 68,842.14 × 33,805.86
  4. Step 4: Simplify right side
    49,943.62x = 2,327,267,362.01
  5. Step 5: Solve for x
    x = 2,327,267,362.01/49,943.62
  6. Step 6: Final answer
    x = 46,597.89

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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.