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Finding the Fourth Proportional to 47,813, 65,981.94 and 27,941

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Solution

The fourth proportional to 47,813, 65,981.94 and 27,941 is: 38,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,813 : 65,981.94 = 27,941 : x
  2. Step 2: Convert to fraction form
    47,813/65,981.94 = 27,941/x
  3. Step 3: Cross multiply
    47,813x = 65,981.94 × 27,941
  4. Step 4: Simplify right side
    47,813x = 1,843,601,385.54
  5. Step 5: Solve for x
    x = 1,843,601,385.54/47,813
  6. Step 6: Final answer
    x = 38,558.58

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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.