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Finding the Fourth Proportional to 30,757.90, 42,445.99 and 17,839.68

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Solution

The fourth proportional to 30,757.90, 42,445.99 and 17,839.68 is: 24,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,757.90 : 42,445.99 = 17,839.68 : x
  2. Step 2: Convert to fraction form
    30,757.90/42,445.99 = 17,839.68/x
  3. Step 3: Cross multiply
    30,757.90x = 42,445.99 × 17,839.68
  4. Step 4: Simplify right side
    30,757.90x = 757,222,878.88
  5. Step 5: Solve for x
    x = 757,222,878.88/30,757.90
  6. Step 6: Final answer
    x = 24,618.81

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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.