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Finding the Fourth Proportional to 52,805.80, 79,200.42 and 17,266.87

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Solution

The fourth proportional to 52,805.80, 79,200.42 and 17,266.87 is: 25,897.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,805.80 : 79,200.42 = 17,266.87 : x
  2. Step 2: Convert to fraction form
    52,805.80/79,200.42 = 17,266.87/x
  3. Step 3: Cross multiply
    52,805.80x = 79,200.42 × 17,266.87
  4. Step 4: Simplify right side
    52,805.80x = 1,367,543,093.33
  5. Step 5: Solve for x
    x = 1,367,543,093.33/52,805.80
  6. Step 6: Final answer
    x = 25,897.59

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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.