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Finding the Fourth Proportional to 82,843.38, 114,256.29 and 50,955.06

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Solution

The fourth proportional to 82,843.38, 114,256.29 and 50,955.06 is: 70,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,843.38 : 114,256.29 = 50,955.06 : x
  2. Step 2: Convert to fraction form
    82,843.38/114,256.29 = 50,955.06/x
  3. Step 3: Cross multiply
    82,843.38x = 114,256.29 × 50,955.06
  4. Step 4: Simplify right side
    82,843.38x = 5,821,936,112.33
  5. Step 5: Solve for x
    x = 5,821,936,112.33/82,843.38
  6. Step 6: Final answer
    x = 70,276.42

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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.