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Finding the Fourth Proportional to 92,996.50, 139,494.82 and 30,667

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Solution

The fourth proportional to 92,996.50, 139,494.82 and 30,667 is: 46,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,996.50 : 139,494.82 = 30,667 : x
  2. Step 2: Convert to fraction form
    92,996.50/139,494.82 = 30,667/x
  3. Step 3: Cross multiply
    92,996.50x = 139,494.82 × 30,667
  4. Step 4: Simplify right side
    92,996.50x = 4,277,887,644.94
  5. Step 5: Solve for x
    x = 4,277,887,644.94/92,996.50
  6. Step 6: Final answer
    x = 46,000.52

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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.