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Finding the Fourth Proportional to 142,413.48, 213,632.34 and 37,232.28

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Solution

The fourth proportional to 142,413.48, 213,632.34 and 37,232.28 is: 55,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,413.48 : 213,632.34 = 37,232.28 : x
  2. Step 2: Convert to fraction form
    142,413.48/213,632.34 = 37,232.28/x
  3. Step 3: Cross multiply
    142,413.48x = 213,632.34 × 37,232.28
  4. Step 4: Simplify right side
    142,413.48x = 7,954,019,099.94
  5. Step 5: Solve for x
    x = 7,954,019,099.94/142,413.48
  6. Step 6: Final answer
    x = 55,851.59

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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.