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Finding the Fourth Proportional to 71,675.69, 98,901.61 and 41,454.99

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Solution

The fourth proportional to 71,675.69, 98,901.61 and 41,454.99 is: 57,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,675.69 : 98,901.61 = 41,454.99 : x
  2. Step 2: Convert to fraction form
    71,675.69/98,901.61 = 41,454.99/x
  3. Step 3: Cross multiply
    71,675.69x = 98,901.61 × 41,454.99
  4. Step 4: Simplify right side
    71,675.69x = 4,099,965,149.90
  5. Step 5: Solve for x
    x = 4,099,965,149.90/71,675.69
  6. Step 6: Final answer
    x = 57,201.62

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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.