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Finding the Fourth Proportional to 46,413.92, 69,620.80 and 16,831.68

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Solution

The fourth proportional to 46,413.92, 69,620.80 and 16,831.68 is: 25,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413.92 : 69,620.80 = 16,831.68 : x
  2. Step 2: Convert to fraction form
    46,413.92/69,620.80 = 16,831.68/x
  3. Step 3: Cross multiply
    46,413.92x = 69,620.80 × 16,831.68
  4. Step 4: Simplify right side
    46,413.92x = 1,171,835,026.94
  5. Step 5: Solve for x
    x = 1,171,835,026.94/46,413.92
  6. Step 6: Final answer
    x = 25,247.49

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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.