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Finding the Fourth Proportional to 80,413.40, 120,608.94 and 56,324.76

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Solution

The fourth proportional to 80,413.40, 120,608.94 and 56,324.76 is: 84,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,413.40 : 120,608.94 = 56,324.76 : x
  2. Step 2: Convert to fraction form
    80,413.40/120,608.94 = 56,324.76/x
  3. Step 3: Cross multiply
    80,413.40x = 120,608.94 × 56,324.76
  4. Step 4: Simplify right side
    80,413.40x = 6,793,269,599.35
  5. Step 5: Solve for x
    x = 6,793,269,599.35/80,413.40
  6. Step 6: Final answer
    x = 84,479.32

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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.