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Finding the Fourth Proportional to 51,963.24, 77,951.74 and 16,891

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Solution

The fourth proportional to 51,963.24, 77,951.74 and 16,891 is: 25,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,963.24 : 77,951.74 = 16,891 : x
  2. Step 2: Convert to fraction form
    51,963.24/77,951.74 = 16,891/x
  3. Step 3: Cross multiply
    51,963.24x = 77,951.74 × 16,891
  4. Step 4: Simplify right side
    51,963.24x = 1,316,682,840.34
  5. Step 5: Solve for x
    x = 1,316,682,840.34/51,963.24
  6. Step 6: Final answer
    x = 25,338.74

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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.