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Finding the Fourth Proportional to 38,200.92, 52,721.82 and 21,436.44

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Solution

The fourth proportional to 38,200.92, 52,721.82 and 21,436.44 is: 29,584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.92 : 52,721.82 = 21,436.44 : x
  2. Step 2: Convert to fraction form
    38,200.92/52,721.82 = 21,436.44/x
  3. Step 3: Cross multiply
    38,200.92x = 52,721.82 × 21,436.44
  4. Step 4: Simplify right side
    38,200.92x = 1,130,168,131.12
  5. Step 5: Solve for x
    x = 1,130,168,131.12/38,200.92
  6. Step 6: Final answer
    x = 29,584.84

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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.