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Finding the Fourth Proportional to 38,284.84, 52,833.54 and 21,517.48

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Solution

The fourth proportional to 38,284.84, 52,833.54 and 21,517.48 is: 29,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,284.84 : 52,833.54 = 21,517.48 : x
  2. Step 2: Convert to fraction form
    38,284.84/52,833.54 = 21,517.48/x
  3. Step 3: Cross multiply
    38,284.84x = 52,833.54 × 21,517.48
  4. Step 4: Simplify right side
    38,284.84x = 1,136,844,640.28
  5. Step 5: Solve for x
    x = 1,136,844,640.28/38,284.84
  6. Step 6: Final answer
    x = 29,694.38

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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.