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Finding the Fourth Proportional to 53,536.67, 80,273.87 and 20,259.30

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Solution

The fourth proportional to 53,536.67, 80,273.87 and 20,259.30 is: 30,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,536.67 : 80,273.87 = 20,259.30 : x
  2. Step 2: Convert to fraction form
    53,536.67/80,273.87 = 20,259.30/x
  3. Step 3: Cross multiply
    53,536.67x = 80,273.87 × 20,259.30
  4. Step 4: Simplify right side
    53,536.67x = 1,626,292,414.49
  5. Step 5: Solve for x
    x = 1,626,292,414.49/53,536.67
  6. Step 6: Final answer
    x = 30,377.17

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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.