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Finding the Fourth Proportional to 39,165, 58,747.68 and 11,463

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Solution

The fourth proportional to 39,165, 58,747.68 and 11,463 is: 17,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,165 : 58,747.68 = 11,463 : x
  2. Step 2: Convert to fraction form
    39,165/58,747.68 = 11,463/x
  3. Step 3: Cross multiply
    39,165x = 58,747.68 × 11,463
  4. Step 4: Simplify right side
    39,165x = 673,424,655.84
  5. Step 5: Solve for x
    x = 673,424,655.84/39,165
  6. Step 6: Final answer
    x = 17,194.55

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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.