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Finding the Fourth Proportional to 51,892.89, 77,850.27 and 16,829.82

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Solution

The fourth proportional to 51,892.89, 77,850.27 and 16,829.82 is: 25,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,892.89 : 77,850.27 = 16,829.82 : x
  2. Step 2: Convert to fraction form
    51,892.89/77,850.27 = 16,829.82/x
  3. Step 3: Cross multiply
    51,892.89x = 77,850.27 × 16,829.82
  4. Step 4: Simplify right side
    51,892.89x = 1,310,206,031.05
  5. Step 5: Solve for x
    x = 1,310,206,031.05/51,892.89
  6. Step 6: Final answer
    x = 25,248.28

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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.