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Finding the Fourth Proportional to 53,874.34, 80,812.82 and 18,335.59

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Solution

The fourth proportional to 53,874.34, 80,812.82 and 18,335.59 is: 27,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,874.34 : 80,812.82 = 18,335.59 : x
  2. Step 2: Convert to fraction form
    53,874.34/80,812.82 = 18,335.59/x
  3. Step 3: Cross multiply
    53,874.34x = 80,812.82 × 18,335.59
  4. Step 4: Simplify right side
    53,874.34x = 1,481,750,734.26
  5. Step 5: Solve for x
    x = 1,481,750,734.26/53,874.34
  6. Step 6: Final answer
    x = 27,503.83

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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.