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Finding the Fourth Proportional to 72,916.82, 109,375.24 and 17,512.82

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Solution

The fourth proportional to 72,916.82, 109,375.24 and 17,512.82 is: 26,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,916.82 : 109,375.24 = 17,512.82 : x
  2. Step 2: Convert to fraction form
    72,916.82/109,375.24 = 17,512.82/x
  3. Step 3: Cross multiply
    72,916.82x = 109,375.24 × 17,512.82
  4. Step 4: Simplify right side
    72,916.82x = 1,915,468,890.58
  5. Step 5: Solve for x
    x = 1,915,468,890.58/72,916.82
  6. Step 6: Final answer
    x = 26,269.23

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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.