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Finding the Fourth Proportional to 30,953.45, 46,402.64 and 13,413.71

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Solution

The fourth proportional to 30,953.45, 46,402.64 and 13,413.71 is: 20,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953.45 : 46,402.64 = 13,413.71 : x
  2. Step 2: Convert to fraction form
    30,953.45/46,402.64 = 13,413.71/x
  3. Step 3: Cross multiply
    30,953.45x = 46,402.64 × 13,413.71
  4. Step 4: Simplify right side
    30,953.45x = 622,431,655.43
  5. Step 5: Solve for x
    x = 622,431,655.43/30,953.45
  6. Step 6: Final answer
    x = 20,108.63

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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.