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Finding the Fourth Proportional to 55,757, 83,635.50 and 18,821

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Solution

The fourth proportional to 55,757, 83,635.50 and 18,821 is: 28,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,757 : 83,635.50 = 18,821 : x
  2. Step 2: Convert to fraction form
    55,757/83,635.50 = 18,821/x
  3. Step 3: Cross multiply
    55,757x = 83,635.50 × 18,821
  4. Step 4: Simplify right side
    55,757x = 1,574,103,745.50
  5. Step 5: Solve for x
    x = 1,574,103,745.50/55,757
  6. Step 6: Final answer
    x = 28,231.50

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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.