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Finding the Fourth Proportional to 82,951.40, 114,468 and 47,136.44

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Solution

The fourth proportional to 82,951.40, 114,468 and 47,136.44 is: 65,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,951.40 : 114,468 = 47,136.44 : x
  2. Step 2: Convert to fraction form
    82,951.40/114,468 = 47,136.44/x
  3. Step 3: Cross multiply
    82,951.40x = 114,468 × 47,136.44
  4. Step 4: Simplify right side
    82,951.40x = 5,395,614,013.92
  5. Step 5: Solve for x
    x = 5,395,614,013.92/82,951.40
  6. Step 6: Final answer
    x = 65,045.48

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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.