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Finding the Fourth Proportional to 107,967.82, 161,975.42 and 33,093.60

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Solution

The fourth proportional to 107,967.82, 161,975.42 and 33,093.60 is: 49,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,967.82 : 161,975.42 = 33,093.60 : x
  2. Step 2: Convert to fraction form
    107,967.82/161,975.42 = 33,093.60/x
  3. Step 3: Cross multiply
    107,967.82x = 161,975.42 × 33,093.60
  4. Step 4: Simplify right side
    107,967.82x = 5,360,349,593.84
  5. Step 5: Solve for x
    x = 5,360,349,593.84/107,967.82
  6. Step 6: Final answer
    x = 49,647.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.