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Finding the Fourth Proportional to 51,755.88, 77,633.78 and 16,695.54

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Solution

The fourth proportional to 51,755.88, 77,633.78 and 16,695.54 is: 25,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,755.88 : 77,633.78 = 16,695.54 : x
  2. Step 2: Convert to fraction form
    51,755.88/77,633.78 = 16,695.54/x
  3. Step 3: Cross multiply
    51,755.88x = 77,633.78 × 16,695.54
  4. Step 4: Simplify right side
    51,755.88x = 1,296,137,491.17
  5. Step 5: Solve for x
    x = 1,296,137,491.17/51,755.88
  6. Step 6: Final answer
    x = 25,043.29

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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.