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Finding the Fourth Proportional to 47,818.11, 65,997 and 27,671.52

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Solution

The fourth proportional to 47,818.11, 65,997 and 27,671.52 is: 38,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,818.11 : 65,997 = 27,671.52 : x
  2. Step 2: Convert to fraction form
    47,818.11/65,997 = 27,671.52/x
  3. Step 3: Cross multiply
    47,818.11x = 65,997 × 27,671.52
  4. Step 4: Simplify right side
    47,818.11x = 1,826,237,305.44
  5. Step 5: Solve for x
    x = 1,826,237,305.44/47,818.11
  6. Step 6: Final answer
    x = 38,191.33

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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.