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Finding the Fourth Proportional to 38,413.92, 53,006.40 and 21,414

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Solution

The fourth proportional to 38,413.92, 53,006.40 and 21,414 is: 29,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.92 : 53,006.40 = 21,414 : x
  2. Step 2: Convert to fraction form
    38,413.92/53,006.40 = 21,414/x
  3. Step 3: Cross multiply
    38,413.92x = 53,006.40 × 21,414
  4. Step 4: Simplify right side
    38,413.92x = 1,135,079,049.60
  5. Step 5: Solve for x
    x = 1,135,079,049.60/38,413.92
  6. Step 6: Final answer
    x = 29,548.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.