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Finding the Fourth Proportional to 49,689.69, 74,541.92 and 16,413.27

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Solution

The fourth proportional to 49,689.69, 74,541.92 and 16,413.27 is: 24,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,689.69 : 74,541.92 = 16,413.27 : x
  2. Step 2: Convert to fraction form
    49,689.69/74,541.92 = 16,413.27/x
  3. Step 3: Cross multiply
    49,689.69x = 74,541.92 × 16,413.27
  4. Step 4: Simplify right side
    49,689.69x = 1,223,476,659.28
  5. Step 5: Solve for x
    x = 1,223,476,659.28/49,689.69
  6. Step 6: Final answer
    x = 24,622.34

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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.