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Finding the Fourth Proportional to 82,524.71, 123,785.73 and 26,364.44

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Solution

The fourth proportional to 82,524.71, 123,785.73 and 26,364.44 is: 39,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,524.71 : 123,785.73 = 26,364.44 : x
  2. Step 2: Convert to fraction form
    82,524.71/123,785.73 = 26,364.44/x
  3. Step 3: Cross multiply
    82,524.71x = 123,785.73 × 26,364.44
  4. Step 4: Simplify right side
    82,524.71x = 3,263,541,760.91
  5. Step 5: Solve for x
    x = 3,263,541,760.91/82,524.71
  6. Step 6: Final answer
    x = 39,546.24

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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.