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Finding the Fourth Proportional to 47,548.50, 65,634.21 and 27,676.50

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Solution

The fourth proportional to 47,548.50, 65,634.21 and 27,676.50 is: 38,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,548.50 : 65,634.21 = 27,676.50 : x
  2. Step 2: Convert to fraction form
    47,548.50/65,634.21 = 27,676.50/x
  3. Step 3: Cross multiply
    47,548.50x = 65,634.21 × 27,676.50
  4. Step 4: Simplify right side
    47,548.50x = 1,816,525,213.07
  5. Step 5: Solve for x
    x = 1,816,525,213.07/47,548.50
  6. Step 6: Final answer
    x = 38,203.63

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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.