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Finding the Fourth Proportional to 74,471.40, 111,640.68 and 27,692.28

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Solution

The fourth proportional to 74,471.40, 111,640.68 and 27,692.28 is: 41,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,471.40 : 111,640.68 = 27,692.28 : x
  2. Step 2: Convert to fraction form
    74,471.40/111,640.68 = 27,692.28/x
  3. Step 3: Cross multiply
    74,471.40x = 111,640.68 × 27,692.28
  4. Step 4: Simplify right side
    74,471.40x = 3,091,584,969.95
  5. Step 5: Solve for x
    x = 3,091,584,969.95/74,471.40
  6. Step 6: Final answer
    x = 41,513.72

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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.