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Finding the Fourth Proportional to 82,952.78, 114,469.89 and 47,137.82

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Solution

The fourth proportional to 82,952.78, 114,469.89 and 47,137.82 is: 65,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952.78 : 114,469.89 = 47,137.82 : x
  2. Step 2: Convert to fraction form
    82,952.78/114,469.89 = 47,137.82/x
  3. Step 3: Cross multiply
    82,952.78x = 114,469.89 × 47,137.82
  4. Step 4: Simplify right side
    82,952.78x = 5,395,860,497.89
  5. Step 5: Solve for x
    x = 5,395,860,497.89/82,952.78
  6. Step 6: Final answer
    x = 65,047.38

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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.