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Finding the Fourth Proportional to 47,662.50, 65,779.92 and 27,524.28

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Solution

The fourth proportional to 47,662.50, 65,779.92 and 27,524.28 is: 37,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.50 : 65,779.92 = 27,524.28 : x
  2. Step 2: Convert to fraction form
    47,662.50/65,779.92 = 27,524.28/x
  3. Step 3: Cross multiply
    47,662.50x = 65,779.92 × 27,524.28
  4. Step 4: Simplify right side
    47,662.50x = 1,810,544,936.46
  5. Step 5: Solve for x
    x = 1,810,544,936.46/47,662.50
  6. Step 6: Final answer
    x = 37,986.78

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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.