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Finding the Fourth Proportional to 34,466.50, 51,691.20 and 9,505.34

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Solution

The fourth proportional to 34,466.50, 51,691.20 and 9,505.34 is: 14,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,466.50 : 51,691.20 = 9,505.34 : x
  2. Step 2: Convert to fraction form
    34,466.50/51,691.20 = 9,505.34/x
  3. Step 3: Cross multiply
    34,466.50x = 51,691.20 × 9,505.34
  4. Step 4: Simplify right side
    34,466.50x = 491,342,431.01
  5. Step 5: Solve for x
    x = 491,342,431.01/34,466.50
  6. Step 6: Final answer
    x = 14,255.65

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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.