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Finding the Fourth Proportional to 32,963.80, 49,413.30 and 16,326.40

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Solution

The fourth proportional to 32,963.80, 49,413.30 and 16,326.40 is: 24,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.80 : 49,413.30 = 16,326.40 : x
  2. Step 2: Convert to fraction form
    32,963.80/49,413.30 = 16,326.40/x
  3. Step 3: Cross multiply
    32,963.80x = 49,413.30 × 16,326.40
  4. Step 4: Simplify right side
    32,963.80x = 806,741,301.12
  5. Step 5: Solve for x
    x = 806,741,301.12/32,963.80
  6. Step 6: Final answer
    x = 24,473.55

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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.