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Finding the Fourth Proportional to 30,968.34, 42,735.92 and 16,821.28

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Solution

The fourth proportional to 30,968.34, 42,735.92 and 16,821.28 is: 23,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.34 : 42,735.92 = 16,821.28 : x
  2. Step 2: Convert to fraction form
    30,968.34/42,735.92 = 16,821.28/x
  3. Step 3: Cross multiply
    30,968.34x = 42,735.92 × 16,821.28
  4. Step 4: Simplify right side
    30,968.34x = 718,872,876.38
  5. Step 5: Solve for x
    x = 718,872,876.38/30,968.34
  6. Step 6: Final answer
    x = 23,213.15

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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.