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Finding the Fourth Proportional to 50,578.16, 75,870.88 and 19,413.41

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Solution

The fourth proportional to 50,578.16, 75,870.88 and 19,413.41 is: 29,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,578.16 : 75,870.88 = 19,413.41 : x
  2. Step 2: Convert to fraction form
    50,578.16/75,870.88 = 19,413.41/x
  3. Step 3: Cross multiply
    50,578.16x = 75,870.88 × 19,413.41
  4. Step 4: Simplify right side
    50,578.16x = 1,472,912,500.50
  5. Step 5: Solve for x
    x = 1,472,912,500.50/50,578.16
  6. Step 6: Final answer
    x = 29,121.51

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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.