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Finding the Fourth Proportional to 30,704.75, 42,372.56 and 17,456.75

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Solution

The fourth proportional to 30,704.75, 42,372.56 and 17,456.75 is: 24,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.75 : 42,372.56 = 17,456.75 : x
  2. Step 2: Convert to fraction form
    30,704.75/42,372.56 = 17,456.75/x
  3. Step 3: Cross multiply
    30,704.75x = 42,372.56 × 17,456.75
  4. Step 4: Simplify right side
    30,704.75x = 739,687,186.78
  5. Step 5: Solve for x
    x = 739,687,186.78/30,704.75
  6. Step 6: Final answer
    x = 24,090.32

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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.