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Finding the Fourth Proportional to 47,963.50, 66,197.82 and 27,826.66

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Solution

The fourth proportional to 47,963.50, 66,197.82 and 27,826.66 is: 38,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,963.50 : 66,197.82 = 27,826.66 : x
  2. Step 2: Convert to fraction form
    47,963.50/66,197.82 = 27,826.66/x
  3. Step 3: Cross multiply
    47,963.50x = 66,197.82 × 27,826.66
  4. Step 4: Simplify right side
    47,963.50x = 1,842,064,229.88
  5. Step 5: Solve for x
    x = 1,842,064,229.88/47,963.50
  6. Step 6: Final answer
    x = 38,405.54

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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.