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Finding the Fourth Proportional to 47,383.76, 65,369.04 and 27,236

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Solution

The fourth proportional to 47,383.76, 65,369.04 and 27,236 is: 37,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,383.76 : 65,369.04 = 27,236 : x
  2. Step 2: Convert to fraction form
    47,383.76/65,369.04 = 27,236/x
  3. Step 3: Cross multiply
    47,383.76x = 65,369.04 × 27,236
  4. Step 4: Simplify right side
    47,383.76x = 1,780,391,173.44
  5. Step 5: Solve for x
    x = 1,780,391,173.44/47,383.76
  6. Step 6: Final answer
    x = 37,573.87

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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.