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Finding the Fourth Proportional to 47,511.38, 65,545.62 and 27,363.44

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Solution

The fourth proportional to 47,511.38, 65,545.62 and 27,363.44 is: 37,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,511.38 : 65,545.62 = 27,363.44 : x
  2. Step 2: Convert to fraction form
    47,511.38/65,545.62 = 27,363.44/x
  3. Step 3: Cross multiply
    47,511.38x = 65,545.62 × 27,363.44
  4. Step 4: Simplify right side
    47,511.38x = 1,793,553,640.13
  5. Step 5: Solve for x
    x = 1,793,553,640.13/47,511.38
  6. Step 6: Final answer
    x = 37,749.98

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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.