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Finding the Fourth Proportional to 27,671.73, 41,502.05 and 7,945.66

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Solution

The fourth proportional to 27,671.73, 41,502.05 and 7,945.66 is: 11,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.73 : 41,502.05 = 7,945.66 : x
  2. Step 2: Convert to fraction form
    27,671.73/41,502.05 = 7,945.66/x
  3. Step 3: Cross multiply
    27,671.73x = 41,502.05 × 7,945.66
  4. Step 4: Simplify right side
    27,671.73x = 329,761,178.60
  5. Step 5: Solve for x
    x = 329,761,178.60/27,671.73
  6. Step 6: Final answer
    x = 11,916.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.