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Finding the Fourth Proportional to 47,810, 65,914.44 and 41,786.96

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Solution

The fourth proportional to 47,810, 65,914.44 and 41,786.96 is: 57,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,810 : 65,914.44 = 41,786.96 : x
  2. Step 2: Convert to fraction form
    47,810/65,914.44 = 41,786.96/x
  3. Step 3: Cross multiply
    47,810x = 65,914.44 × 41,786.96
  4. Step 4: Simplify right side
    47,810x = 2,754,364,067.70
  5. Step 5: Solve for x
    x = 2,754,364,067.70/47,810
  6. Step 6: Final answer
    x = 57,610.63

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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.