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Finding the Fourth Proportional to 30,878.52, 42,614.04 and 17,450.34

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Solution

The fourth proportional to 30,878.52, 42,614.04 and 17,450.34 is: 24,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.52 : 42,614.04 = 17,450.34 : x
  2. Step 2: Convert to fraction form
    30,878.52/42,614.04 = 17,450.34/x
  3. Step 3: Cross multiply
    30,878.52x = 42,614.04 × 17,450.34
  4. Step 4: Simplify right side
    30,878.52x = 743,629,486.77
  5. Step 5: Solve for x
    x = 743,629,486.77/30,878.52
  6. Step 6: Final answer
    x = 24,082.42

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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.