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Finding the Fourth Proportional to 82,933, 124,418.94 and 27,529

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Solution

The fourth proportional to 82,933, 124,418.94 and 27,529 is: 41,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,933 : 124,418.94 = 27,529 : x
  2. Step 2: Convert to fraction form
    82,933/124,418.94 = 27,529/x
  3. Step 3: Cross multiply
    82,933x = 124,418.94 × 27,529
  4. Step 4: Simplify right side
    82,933x = 3,425,128,999.26
  5. Step 5: Solve for x
    x = 3,425,128,999.26/82,933
  6. Step 6: Final answer
    x = 41,299.95

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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.