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Finding the Fourth Proportional to 34,255.50, 51,383.27 and 9,631.50

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Solution

The fourth proportional to 34,255.50, 51,383.27 and 9,631.50 is: 14,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,255.50 : 51,383.27 = 9,631.50 : x
  2. Step 2: Convert to fraction form
    34,255.50/51,383.27 = 9,631.50/x
  3. Step 3: Cross multiply
    34,255.50x = 51,383.27 × 9,631.50
  4. Step 4: Simplify right side
    34,255.50x = 494,897,965.01
  5. Step 5: Solve for x
    x = 494,897,965.01/34,255.50
  6. Step 6: Final answer
    x = 14,447.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.