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Finding the Fourth Proportional to 71,832.97, 107,723.53 and 30,283.21

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Solution

The fourth proportional to 71,832.97, 107,723.53 and 30,283.21 is: 45,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,832.97 : 107,723.53 = 30,283.21 : x
  2. Step 2: Convert to fraction form
    71,832.97/107,723.53 = 30,283.21/x
  3. Step 3: Cross multiply
    71,832.97x = 107,723.53 × 30,283.21
  4. Step 4: Simplify right side
    71,832.97x = 3,262,214,280.93
  5. Step 5: Solve for x
    x = 3,262,214,280.93/71,832.97
  6. Step 6: Final answer
    x = 45,413.89

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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.