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Finding the Fourth Proportional to 82,516.80, 123,714.49 and 26,324.57

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Solution

The fourth proportional to 82,516.80, 123,714.49 and 26,324.57 is: 39,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,516.80 : 123,714.49 = 26,324.57 : x
  2. Step 2: Convert to fraction form
    82,516.80/123,714.49 = 26,324.57/x
  3. Step 3: Cross multiply
    82,516.80x = 123,714.49 × 26,324.57
  4. Step 4: Simplify right side
    82,516.80x = 3,256,730,696.91
  5. Step 5: Solve for x
    x = 3,256,730,696.91/82,516.80
  6. Step 6: Final answer
    x = 39,467.49

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