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Finding the Fourth Proportional to 38,692.26, 53,404.80 and 23,593.23

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Solution

The fourth proportional to 38,692.26, 53,404.80 and 23,593.23 is: 32,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,692.26 : 53,404.80 = 23,593.23 : x
  2. Step 2: Convert to fraction form
    38,692.26/53,404.80 = 23,593.23/x
  3. Step 3: Cross multiply
    38,692.26x = 53,404.80 × 23,593.23
  4. Step 4: Simplify right side
    38,692.26x = 1,259,991,729.50
  5. Step 5: Solve for x
    x = 1,259,991,729.50/38,692.26
  6. Step 6: Final answer
    x = 32,564.44

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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.