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Finding the Fourth Proportional to 37,180.68, 51,308.70 and 20,413.56

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Solution

The fourth proportional to 37,180.68, 51,308.70 and 20,413.56 is: 28,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,180.68 : 51,308.70 = 20,413.56 : x
  2. Step 2: Convert to fraction form
    37,180.68/51,308.70 = 20,413.56/x
  3. Step 3: Cross multiply
    37,180.68x = 51,308.70 × 20,413.56
  4. Step 4: Simplify right side
    37,180.68x = 1,047,393,225.97
  5. Step 5: Solve for x
    x = 1,047,393,225.97/37,180.68
  6. Step 6: Final answer
    x = 28,170.36

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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.