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Finding the Fourth Proportional to 69,413.66, 104,120.49 and 16,823.15

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Solution

The fourth proportional to 69,413.66, 104,120.49 and 16,823.15 is: 25,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,413.66 : 104,120.49 = 16,823.15 : x
  2. Step 2: Convert to fraction form
    69,413.66/104,120.49 = 16,823.15/x
  3. Step 3: Cross multiply
    69,413.66x = 104,120.49 × 16,823.15
  4. Step 4: Simplify right side
    69,413.66x = 1,751,634,016.63
  5. Step 5: Solve for x
    x = 1,751,634,016.63/69,413.66
  6. Step 6: Final answer
    x = 25,234.72

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1.5x scale

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.