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Finding the Fourth Proportional to 37,413.47, 51,641.39 and 22,114.19

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Solution

The fourth proportional to 37,413.47, 51,641.39 and 22,114.19 is: 30,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,413.47 : 51,641.39 = 22,114.19 : x
  2. Step 2: Convert to fraction form
    37,413.47/51,641.39 = 22,114.19/x
  3. Step 3: Cross multiply
    37,413.47x = 51,641.39 × 22,114.19
  4. Step 4: Simplify right side
    37,413.47x = 1,142,007,399.75
  5. Step 5: Solve for x
    x = 1,142,007,399.75/37,413.47
  6. Step 6: Final answer
    x = 30,523.96

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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.