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Finding the Fourth Proportional to 46,413.42, 69,620.06 and 16,831.20

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Solution

The fourth proportional to 46,413.42, 69,620.06 and 16,831.20 is: 25,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413.42 : 69,620.06 = 16,831.20 : x
  2. Step 2: Convert to fraction form
    46,413.42/69,620.06 = 16,831.20/x
  3. Step 3: Cross multiply
    46,413.42x = 69,620.06 × 16,831.20
  4. Step 4: Simplify right side
    46,413.42x = 1,171,789,153.87
  5. Step 5: Solve for x
    x = 1,171,789,153.87/46,413.42
  6. Step 6: Final answer
    x = 25,246.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.