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Finding the Fourth Proportional to 30,909, 42,654.42 and 16,761.86

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Solution

The fourth proportional to 30,909, 42,654.42 and 16,761.86 is: 23,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909 : 42,654.42 = 16,761.86 : x
  2. Step 2: Convert to fraction form
    30,909/42,654.42 = 16,761.86/x
  3. Step 3: Cross multiply
    30,909x = 42,654.42 × 16,761.86
  4. Step 4: Simplify right side
    30,909x = 714,967,203.15
  5. Step 5: Solve for x
    x = 714,967,203.15/30,909
  6. Step 6: Final answer
    x = 23,131.36

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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.