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Finding the Fourth Proportional to 62,096, 85,692.49 and 33,801.90

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Solution

The fourth proportional to 62,096, 85,692.49 and 33,801.90 is: 46,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,096 : 85,692.49 = 33,801.90 : x
  2. Step 2: Convert to fraction form
    62,096/85,692.49 = 33,801.90/x
  3. Step 3: Cross multiply
    62,096x = 85,692.49 × 33,801.90
  4. Step 4: Simplify right side
    62,096x = 2,896,568,977.73
  5. Step 5: Solve for x
    x = 2,896,568,977.73/62,096
  6. Step 6: Final answer
    x = 46,646.63

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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.