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Finding the Fourth Proportional to 50,511.36, 69,701.94 and 27,850.80

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Solution

The fourth proportional to 50,511.36, 69,701.94 and 27,850.80 is: 38,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,511.36 : 69,701.94 = 27,850.80 : x
  2. Step 2: Convert to fraction form
    50,511.36/69,701.94 = 27,850.80/x
  3. Step 3: Cross multiply
    50,511.36x = 69,701.94 × 27,850.80
  4. Step 4: Simplify right side
    50,511.36x = 1,941,254,790.55
  5. Step 5: Solve for x
    x = 1,941,254,790.55/50,511.36
  6. Step 6: Final answer
    x = 38,432.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.