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Finding the Fourth Proportional to 36,032, 54,075.84 and 25,016

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Solution

The fourth proportional to 36,032, 54,075.84 and 25,016 is: 37,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,032 : 54,075.84 = 25,016 : x
  2. Step 2: Convert to fraction form
    36,032/54,075.84 = 25,016/x
  3. Step 3: Cross multiply
    36,032x = 54,075.84 × 25,016
  4. Step 4: Simplify right side
    36,032x = 1,352,761,213.44
  5. Step 5: Solve for x
    x = 1,352,761,213.44/36,032
  6. Step 6: Final answer
    x = 37,543.33

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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.