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Finding the Fourth Proportional to 51,703.44, 77,505.87 and 16,618.44

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Solution

The fourth proportional to 51,703.44, 77,505.87 and 16,618.44 is: 24,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703.44 : 77,505.87 = 16,618.44 : x
  2. Step 2: Convert to fraction form
    51,703.44/77,505.87 = 16,618.44/x
  3. Step 3: Cross multiply
    51,703.44x = 77,505.87 × 16,618.44
  4. Step 4: Simplify right side
    51,703.44x = 1,288,026,650.24
  5. Step 5: Solve for x
    x = 1,288,026,650.24/51,703.44
  6. Step 6: Final answer
    x = 24,911.82

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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.