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Finding the Fourth Proportional to 49,006.98, 67,625.82 and 27,789.66

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Solution

The fourth proportional to 49,006.98, 67,625.82 and 27,789.66 is: 38,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,006.98 : 67,625.82 = 27,789.66 : x
  2. Step 2: Convert to fraction form
    49,006.98/67,625.82 = 27,789.66/x
  3. Step 3: Cross multiply
    49,006.98x = 67,625.82 × 27,789.66
  4. Step 4: Simplify right side
    49,006.98x = 1,879,298,545.02
  5. Step 5: Solve for x
    x = 1,879,298,545.02/49,006.98
  6. Step 6: Final answer
    x = 38,347.57

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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.