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Finding the Fourth Proportional to 83,201.80, 114,839.12 and 47,413.04

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Solution

The fourth proportional to 83,201.80, 114,839.12 and 47,413.04 is: 65,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,201.80 : 114,839.12 = 47,413.04 : x
  2. Step 2: Convert to fraction form
    83,201.80/114,839.12 = 47,413.04/x
  3. Step 3: Cross multiply
    83,201.80x = 114,839.12 × 47,413.04
  4. Step 4: Simplify right side
    83,201.80x = 5,444,871,790.12
  5. Step 5: Solve for x
    x = 5,444,871,790.12/83,201.80
  6. Step 6: Final answer
    x = 65,441.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.