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Finding the Fourth Proportional to 55,361.43, 83,040.12 and 30,413.16

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Solution

The fourth proportional to 55,361.43, 83,040.12 and 30,413.16 is: 45,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,361.43 : 83,040.12 = 30,413.16 : x
  2. Step 2: Convert to fraction form
    55,361.43/83,040.12 = 30,413.16/x
  3. Step 3: Cross multiply
    55,361.43x = 83,040.12 × 30,413.16
  4. Step 4: Simplify right side
    55,361.43x = 2,525,512,455.98
  5. Step 5: Solve for x
    x = 2,525,512,455.98/55,361.43
  6. Step 6: Final answer
    x = 45,618.63

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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.