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Finding the Fourth Proportional to 72,942.20, 109,413.30 and 43,344.80

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Solution

The fourth proportional to 72,942.20, 109,413.30 and 43,344.80 is: 65,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,942.20 : 109,413.30 = 43,344.80 : x
  2. Step 2: Convert to fraction form
    72,942.20/109,413.30 = 43,344.80/x
  3. Step 3: Cross multiply
    72,942.20x = 109,413.30 × 43,344.80
  4. Step 4: Simplify right side
    72,942.20x = 4,742,497,605.84
  5. Step 5: Solve for x
    x = 4,742,497,605.84/72,942.20
  6. Step 6: Final answer
    x = 65,017.20

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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.