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Finding the Fourth Proportional to 49,792.80, 74,711.16 and 26,413.50

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Solution

The fourth proportional to 49,792.80, 74,711.16 and 26,413.50 is: 39,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,792.80 : 74,711.16 = 26,413.50 : x
  2. Step 2: Convert to fraction form
    49,792.80/74,711.16 = 26,413.50/x
  3. Step 3: Cross multiply
    49,792.80x = 74,711.16 × 26,413.50
  4. Step 4: Simplify right side
    49,792.80x = 1,973,383,224.66
  5. Step 5: Solve for x
    x = 1,973,383,224.66/49,792.80
  6. Step 6: Final answer
    x = 39,631.90

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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.