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Finding the Fourth Proportional to 31,306.92, 43,203.06 and 16,966.41

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Solution

The fourth proportional to 31,306.92, 43,203.06 and 16,966.41 is: 23,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306.92 : 43,203.06 = 16,966.41 : x
  2. Step 2: Convert to fraction form
    31,306.92/43,203.06 = 16,966.41/x
  3. Step 3: Cross multiply
    31,306.92x = 43,203.06 × 16,966.41
  4. Step 4: Simplify right side
    31,306.92x = 733,000,829.21
  5. Step 5: Solve for x
    x = 733,000,829.21/31,306.92
  6. Step 6: Final answer
    x = 23,413.38

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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.