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Finding the Fourth Proportional to 30,968.50, 42,737.31 and 16,821.34

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Solution

The fourth proportional to 30,968.50, 42,737.31 and 16,821.34 is: 23,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.50 : 42,737.31 = 16,821.34 : x
  2. Step 2: Convert to fraction form
    30,968.50/42,737.31 = 16,821.34/x
  3. Step 3: Cross multiply
    30,968.50x = 42,737.31 × 16,821.34
  4. Step 4: Simplify right side
    30,968.50x = 718,898,822.20
  5. Step 5: Solve for x
    x = 718,898,822.20/30,968.50
  6. Step 6: Final answer
    x = 23,213.87

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