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Finding the Fourth Proportional to 75,550, 104,259 and 42,016

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Solution

The fourth proportional to 75,550, 104,259 and 42,016 is: 57,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,550 : 104,259 = 42,016 : x
  2. Step 2: Convert to fraction form
    75,550/104,259 = 42,016/x
  3. Step 3: Cross multiply
    75,550x = 104,259 × 42,016
  4. Step 4: Simplify right side
    75,550x = 4,380,546,144
  5. Step 5: Solve for x
    x = 4,380,546,144/75,550
  6. Step 6: Final answer
    x = 57,982.08

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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.