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Finding the Fourth Proportional to 96,097.38, 132,541.41 and 82,691.10

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Solution

The fourth proportional to 96,097.38, 132,541.41 and 82,691.10 is: 114,050.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,097.38 : 132,541.41 = 82,691.10 : x
  2. Step 2: Convert to fraction form
    96,097.38/132,541.41 = 82,691.10/x
  3. Step 3: Cross multiply
    96,097.38x = 132,541.41 × 82,691.10
  4. Step 4: Simplify right side
    96,097.38x = 10,959,994,988.45
  5. Step 5: Solve for x
    x = 10,959,994,988.45/96,097.38
  6. Step 6: Final answer
    x = 114,050.92

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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.