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Finding the Fourth Proportional to 35,692.38, 49,265.62 and 21,546.14

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Solution

The fourth proportional to 35,692.38, 49,265.62 and 21,546.14 is: 29,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.38 : 49,265.62 = 21,546.14 : x
  2. Step 2: Convert to fraction form
    35,692.38/49,265.62 = 21,546.14/x
  3. Step 3: Cross multiply
    35,692.38x = 49,265.62 × 21,546.14
  4. Step 4: Simplify right side
    35,692.38x = 1,061,483,645.51
  5. Step 5: Solve for x
    x = 1,061,483,645.51/35,692.38
  6. Step 6: Final answer
    x = 29,739.78

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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.