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Finding the Fourth Proportional to 75,876.52, 104,715.39 and 41,891.55

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Solution

The fourth proportional to 75,876.52, 104,715.39 and 41,891.55 is: 57,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,876.52 : 104,715.39 = 41,891.55 : x
  2. Step 2: Convert to fraction form
    75,876.52/104,715.39 = 41,891.55/x
  3. Step 3: Cross multiply
    75,876.52x = 104,715.39 × 41,891.55
  4. Step 4: Simplify right side
    75,876.52x = 4,386,689,995.95
  5. Step 5: Solve for x
    x = 4,386,689,995.95/75,876.52
  6. Step 6: Final answer
    x = 57,813.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.