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Finding the Fourth Proportional to 39,652.80, 54,692.18 and 33,675

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Solution

The fourth proportional to 39,652.80, 54,692.18 and 33,675 is: 46,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,652.80 : 54,692.18 = 33,675 : x
  2. Step 2: Convert to fraction form
    39,652.80/54,692.18 = 33,675/x
  3. Step 3: Cross multiply
    39,652.80x = 54,692.18 × 33,675
  4. Step 4: Simplify right side
    39,652.80x = 1,841,758,993.13
  5. Step 5: Solve for x
    x = 1,841,758,993.13/39,652.80
  6. Step 6: Final answer
    x = 46,447.14

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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.