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Finding the Fourth Proportional to 50,787.76, 76,210.44 and 27,413.68

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Solution

The fourth proportional to 50,787.76, 76,210.44 and 27,413.68 is: 41,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,787.76 : 76,210.44 = 27,413.68 : x
  2. Step 2: Convert to fraction form
    50,787.76/76,210.44 = 27,413.68/x
  3. Step 3: Cross multiply
    50,787.76x = 76,210.44 × 27,413.68
  4. Step 4: Simplify right side
    50,787.76x = 2,089,208,614.82
  5. Step 5: Solve for x
    x = 2,089,208,614.82/50,787.76
  6. Step 6: Final answer
    x = 41,136.07

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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.