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Finding the Fourth Proportional to 27,349.56, 37,742.39 and 15,413.33

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Solution

The fourth proportional to 27,349.56, 37,742.39 and 15,413.33 is: 21,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,349.56 : 37,742.39 = 15,413.33 : x
  2. Step 2: Convert to fraction form
    27,349.56/37,742.39 = 15,413.33/x
  3. Step 3: Cross multiply
    27,349.56x = 37,742.39 × 15,413.33
  4. Step 4: Simplify right side
    27,349.56x = 581,735,912.06
  5. Step 5: Solve for x
    x = 581,735,912.06/27,349.56
  6. Step 6: Final answer
    x = 21,270.39

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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.