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Finding the Fourth Proportional to 53,949.80, 80,943.90 and 52,029.80

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Solution

The fourth proportional to 53,949.80, 80,943.90 and 52,029.80 is: 78,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,949.80 : 80,943.90 = 52,029.80 : x
  2. Step 2: Convert to fraction form
    53,949.80/80,943.90 = 52,029.80/x
  3. Step 3: Cross multiply
    53,949.80x = 80,943.90 × 52,029.80
  4. Step 4: Simplify right side
    53,949.80x = 4,211,494,928.22
  5. Step 5: Solve for x
    x = 4,211,494,928.22/53,949.80
  6. Step 6: Final answer
    x = 78,063.22

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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.