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Finding the Fourth Proportional to 47,813.49, 65,976.86 and 27,676.69

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Solution

The fourth proportional to 47,813.49, 65,976.86 and 27,676.69 is: 38,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,813.49 : 65,976.86 = 27,676.69 : x
  2. Step 2: Convert to fraction form
    47,813.49/65,976.86 = 27,676.69/x
  3. Step 3: Cross multiply
    47,813.49x = 65,976.86 × 27,676.69
  4. Step 4: Simplify right side
    47,813.49x = 1,826,021,005.64
  5. Step 5: Solve for x
    x = 1,826,021,005.64/47,813.49
  6. Step 6: Final answer
    x = 38,190.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.