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Finding the Fourth Proportional to 62,845.92, 86,717.52 and 35,982

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Solution

The fourth proportional to 62,845.92, 86,717.52 and 35,982 is: 49,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,845.92 : 86,717.52 = 35,982 : x
  2. Step 2: Convert to fraction form
    62,845.92/86,717.52 = 35,982/x
  3. Step 3: Cross multiply
    62,845.92x = 86,717.52 × 35,982
  4. Step 4: Simplify right side
    62,845.92x = 3,120,269,804.64
  5. Step 5: Solve for x
    x = 3,120,269,804.64/62,845.92
  6. Step 6: Final answer
    x = 49,649.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.