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Finding the Fourth Proportional to 30,878.67, 42,612.90 and 17,450.09

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Solution

The fourth proportional to 30,878.67, 42,612.90 and 17,450.09 is: 24,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.67 : 42,612.90 = 17,450.09 : x
  2. Step 2: Convert to fraction form
    30,878.67/42,612.90 = 17,450.09/x
  3. Step 3: Cross multiply
    30,878.67x = 42,612.90 × 17,450.09
  4. Step 4: Simplify right side
    30,878.67x = 743,598,919.61
  5. Step 5: Solve for x
    x = 743,598,919.61/30,878.67
  6. Step 6: Final answer
    x = 24,081.31

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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.