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Finding the Fourth Proportional to 82,576.25, 123,863.87 and 23,411.93

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Solution

The fourth proportional to 82,576.25, 123,863.87 and 23,411.93 is: 35,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,576.25 : 123,863.87 = 23,411.93 : x
  2. Step 2: Convert to fraction form
    82,576.25/123,863.87 = 23,411.93/x
  3. Step 3: Cross multiply
    82,576.25x = 123,863.87 × 23,411.93
  4. Step 4: Simplify right side
    82,576.25x = 2,899,891,517.59
  5. Step 5: Solve for x
    x = 2,899,891,517.59/82,576.25
  6. Step 6: Final answer
    x = 35,117.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.