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Finding the Fourth Proportional to 36,063.84, 49,762 and 20,148.42

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Solution

The fourth proportional to 36,063.84, 49,762 and 20,148.42 is: 27,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,063.84 : 49,762 = 20,148.42 : x
  2. Step 2: Convert to fraction form
    36,063.84/49,762 = 20,148.42/x
  3. Step 3: Cross multiply
    36,063.84x = 49,762 × 20,148.42
  4. Step 4: Simplify right side
    36,063.84x = 1,002,625,676.04
  5. Step 5: Solve for x
    x = 1,002,625,676.04/36,063.84
  6. Step 6: Final answer
    x = 27,801.41

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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.