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Finding the Fourth Proportional to 57,425.82, 86,138.73 and 17,983.14

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Solution

The fourth proportional to 57,425.82, 86,138.73 and 17,983.14 is: 26,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,425.82 : 86,138.73 = 17,983.14 : x
  2. Step 2: Convert to fraction form
    57,425.82/86,138.73 = 17,983.14/x
  3. Step 3: Cross multiply
    57,425.82x = 86,138.73 × 17,983.14
  4. Step 4: Simplify right side
    57,425.82x = 1,549,044,841.01
  5. Step 5: Solve for x
    x = 1,549,044,841.01/57,425.82
  6. Step 6: Final answer
    x = 26,974.71

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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.