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Finding the Fourth Proportional to 51,887.52, 77,842.21 and 16,824.44

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Solution

The fourth proportional to 51,887.52, 77,842.21 and 16,824.44 is: 25,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,887.52 : 77,842.21 = 16,824.44 : x
  2. Step 2: Convert to fraction form
    51,887.52/77,842.21 = 16,824.44/x
  3. Step 3: Cross multiply
    51,887.52x = 77,842.21 × 16,824.44
  4. Step 4: Simplify right side
    51,887.52x = 1,309,651,591.61
  5. Step 5: Solve for x
    x = 1,309,651,591.61/51,887.52
  6. Step 6: Final answer
    x = 25,240.20

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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.