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Finding the Fourth Proportional to 49,609, 74,413.50 and 31,153.96

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Solution

The fourth proportional to 49,609, 74,413.50 and 31,153.96 is: 46,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,609 : 74,413.50 = 31,153.96 : x
  2. Step 2: Convert to fraction form
    49,609/74,413.50 = 31,153.96/x
  3. Step 3: Cross multiply
    49,609x = 74,413.50 × 31,153.96
  4. Step 4: Simplify right side
    49,609x = 2,318,275,202.46
  5. Step 5: Solve for x
    x = 2,318,275,202.46/49,609
  6. Step 6: Final answer
    x = 46,730.94

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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.