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Finding the Fourth Proportional to 30,993.81, 46,503.86 and 16,937.42

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Solution

The fourth proportional to 30,993.81, 46,503.86 and 16,937.42 is: 25,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.81 : 46,503.86 = 16,937.42 : x
  2. Step 2: Convert to fraction form
    30,993.81/46,503.86 = 16,937.42/x
  3. Step 3: Cross multiply
    30,993.81x = 46,503.86 × 16,937.42
  4. Step 4: Simplify right side
    30,993.81x = 787,655,091.23
  5. Step 5: Solve for x
    x = 787,655,091.23/30,993.81
  6. Step 6: Final answer
    x = 25,413.30

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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.