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Finding the Fourth Proportional to 50,980.80, 70,413.20 and 46,496.64

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Solution

The fourth proportional to 50,980.80, 70,413.20 and 46,496.64 is: 64,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,980.80 : 70,413.20 = 46,496.64 : x
  2. Step 2: Convert to fraction form
    50,980.80/70,413.20 = 46,496.64/x
  3. Step 3: Cross multiply
    50,980.80x = 70,413.20 × 46,496.64
  4. Step 4: Simplify right side
    50,980.80x = 3,273,977,211.65
  5. Step 5: Solve for x
    x = 3,273,977,211.65/50,980.80
  6. Step 6: Final answer
    x = 64,219.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.