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Finding the Fourth Proportional to 55,940.44, 83,910.66 and 52,519

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Solution

The fourth proportional to 55,940.44, 83,910.66 and 52,519 is: 78,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,940.44 : 83,910.66 = 52,519 : x
  2. Step 2: Convert to fraction form
    55,940.44/83,910.66 = 52,519/x
  3. Step 3: Cross multiply
    55,940.44x = 83,910.66 × 52,519
  4. Step 4: Simplify right side
    55,940.44x = 4,406,903,952.54
  5. Step 5: Solve for x
    x = 4,406,903,952.54/55,940.44
  6. Step 6: Final answer
    x = 78,778.50

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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.