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Finding the Fourth Proportional to 62,484.43, 86,228.16 and 33,804

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Solution

The fourth proportional to 62,484.43, 86,228.16 and 33,804 is: 46,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,484.43 : 86,228.16 = 33,804 : x
  2. Step 2: Convert to fraction form
    62,484.43/86,228.16 = 33,804/x
  3. Step 3: Cross multiply
    62,484.43x = 86,228.16 × 33,804
  4. Step 4: Simplify right side
    62,484.43x = 2,914,856,551.62
  5. Step 5: Solve for x
    x = 2,914,856,551.62/62,484.43
  6. Step 6: Final answer
    x = 46,649.33

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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.