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Finding the Fourth Proportional to 57,126.64, 85,694.04 and 17,678.68

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Solution

The fourth proportional to 57,126.64, 85,694.04 and 17,678.68 is: 26,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,126.64 : 85,694.04 = 17,678.68 : x
  2. Step 2: Convert to fraction form
    57,126.64/85,694.04 = 17,678.68/x
  3. Step 3: Cross multiply
    57,126.64x = 85,694.04 × 17,678.68
  4. Step 4: Simplify right side
    57,126.64x = 1,514,957,511.07
  5. Step 5: Solve for x
    x = 1,514,957,511.07/57,126.64
  6. Step 6: Final answer
    x = 26,519.28

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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.