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Finding the Fourth Proportional to 49,115.88, 67,779.72 and 27,901.98

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Solution

The fourth proportional to 49,115.88, 67,779.72 and 27,901.98 is: 38,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,115.88 : 67,779.72 = 27,901.98 : x
  2. Step 2: Convert to fraction form
    49,115.88/67,779.72 = 27,901.98/x
  3. Step 3: Cross multiply
    49,115.88x = 67,779.72 × 27,901.98
  4. Step 4: Simplify right side
    49,115.88x = 1,891,188,391.85
  5. Step 5: Solve for x
    x = 1,891,188,391.85/49,115.88
  6. Step 6: Final answer
    x = 38,504.62

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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.