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Finding the Fourth Proportional to 47,924.67, 71,892 and 18,367.50

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Solution

The fourth proportional to 47,924.67, 71,892 and 18,367.50 is: 27,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,924.67 : 71,892 = 18,367.50 : x
  2. Step 2: Convert to fraction form
    47,924.67/71,892 = 18,367.50/x
  3. Step 3: Cross multiply
    47,924.67x = 71,892 × 18,367.50
  4. Step 4: Simplify right side
    47,924.67x = 1,320,476,310
  5. Step 5: Solve for x
    x = 1,320,476,310/47,924.67
  6. Step 6: Final answer
    x = 27,553.16

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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.