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Finding the Fourth Proportional to 107,599, 161,424.42 and 33,727

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Solution

The fourth proportional to 107,599, 161,424.42 and 33,727 is: 50,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,599 : 161,424.42 = 33,727 : x
  2. Step 2: Convert to fraction form
    107,599/161,424.42 = 33,727/x
  3. Step 3: Cross multiply
    107,599x = 161,424.42 × 33,727
  4. Step 4: Simplify right side
    107,599x = 5,444,361,413.34
  5. Step 5: Solve for x
    x = 5,444,361,413.34/107,599
  6. Step 6: Final answer
    x = 50,598.62

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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.