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Finding the Fourth Proportional to 82,982.77, 114,496.54 and 47,169.97

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Solution

The fourth proportional to 82,982.77, 114,496.54 and 47,169.97 is: 65,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,982.77 : 114,496.54 = 47,169.97 : x
  2. Step 2: Convert to fraction form
    82,982.77/114,496.54 = 47,169.97/x
  3. Step 3: Cross multiply
    82,982.77x = 114,496.54 × 47,169.97
  4. Step 4: Simplify right side
    82,982.77x = 5,400,798,356.90
  5. Step 5: Solve for x
    x = 5,400,798,356.90/82,982.77
  6. Step 6: Final answer
    x = 65,083.37

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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.