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Finding the Fourth Proportional to 82,952.40, 114,469.38 and 47,137.44

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Solution

The fourth proportional to 82,952.40, 114,469.38 and 47,137.44 is: 65,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952.40 : 114,469.38 = 47,137.44 : x
  2. Step 2: Convert to fraction form
    82,952.40/114,469.38 = 47,137.44/x
  3. Step 3: Cross multiply
    82,952.40x = 114,469.38 × 47,137.44
  4. Step 4: Simplify right side
    82,952.40x = 5,395,793,531.59
  5. Step 5: Solve for x
    x = 5,395,793,531.59/82,952.40
  6. Step 6: Final answer
    x = 65,046.86

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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.