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Finding the Fourth Proportional to 40,510.80, 60,766.20 and 30,142.80

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Solution

The fourth proportional to 40,510.80, 60,766.20 and 30,142.80 is: 45,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,510.80 : 60,766.20 = 30,142.80 : x
  2. Step 2: Convert to fraction form
    40,510.80/60,766.20 = 30,142.80/x
  3. Step 3: Cross multiply
    40,510.80x = 60,766.20 × 30,142.80
  4. Step 4: Simplify right side
    40,510.80x = 1,831,663,413.36
  5. Step 5: Solve for x
    x = 1,831,663,413.36/40,510.80
  6. Step 6: Final answer
    x = 45,214.20

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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.