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Finding the Fourth Proportional to 71,619.95, 98,838.11 and 41,414.75

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Solution

The fourth proportional to 71,619.95, 98,838.11 and 41,414.75 is: 57,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,619.95 : 98,838.11 = 41,414.75 : x
  2. Step 2: Convert to fraction form
    71,619.95/98,838.11 = 41,414.75/x
  3. Step 3: Cross multiply
    71,619.95x = 98,838.11 × 41,414.75
  4. Step 4: Simplify right side
    71,619.95x = 4,093,355,616.12
  5. Step 5: Solve for x
    x = 4,093,355,616.12/71,619.95
  6. Step 6: Final answer
    x = 57,153.85

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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.