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Finding the Fourth Proportional to 47,413.26, 71,139.02 and 21,100

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Solution

The fourth proportional to 47,413.26, 71,139.02 and 21,100 is: 31,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,413.26 : 71,139.02 = 21,100 : x
  2. Step 2: Convert to fraction form
    47,413.26/71,139.02 = 21,100/x
  3. Step 3: Cross multiply
    47,413.26x = 71,139.02 × 21,100
  4. Step 4: Simplify right side
    47,413.26x = 1,501,033,322
  5. Step 5: Solve for x
    x = 1,501,033,322/47,413.26
  6. Step 6: Final answer
    x = 31,658.51

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