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Finding the Fourth Proportional to 33,085.50, 45,658.82 and 17,978

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Solution

The fourth proportional to 33,085.50, 45,658.82 and 17,978 is: 24,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.50 : 45,658.82 = 17,978 : x
  2. Step 2: Convert to fraction form
    33,085.50/45,658.82 = 17,978/x
  3. Step 3: Cross multiply
    33,085.50x = 45,658.82 × 17,978
  4. Step 4: Simplify right side
    33,085.50x = 820,854,265.96
  5. Step 5: Solve for x
    x = 820,854,265.96/33,085.50
  6. Step 6: Final answer
    x = 24,810.09

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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.