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Finding the Fourth Proportional to 51,893.89, 77,851.77 and 16,830.82

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Solution

The fourth proportional to 51,893.89, 77,851.77 and 16,830.82 is: 25,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,893.89 : 77,851.77 = 16,830.82 : x
  2. Step 2: Convert to fraction form
    51,893.89/77,851.77 = 16,830.82/x
  3. Step 3: Cross multiply
    51,893.89x = 77,851.77 × 16,830.82
  4. Step 4: Simplify right side
    51,893.89x = 1,310,309,127.55
  5. Step 5: Solve for x
    x = 1,310,309,127.55/51,893.89
  6. Step 6: Final answer
    x = 25,249.78

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1.5x scale

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.