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Finding the Fourth Proportional to 100,942.52, 151,413.37 and 37,767.38

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Solution

The fourth proportional to 100,942.52, 151,413.37 and 37,767.38 is: 56,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,942.52 : 151,413.37 = 37,767.38 : x
  2. Step 2: Convert to fraction form
    100,942.52/151,413.37 = 37,767.38/x
  3. Step 3: Cross multiply
    100,942.52x = 151,413.37 × 37,767.38
  4. Step 4: Simplify right side
    100,942.52x = 5,718,485,430.39
  5. Step 5: Solve for x
    x = 5,718,485,430.39/100,942.52
  6. Step 6: Final answer
    x = 56,650.91

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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.