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Finding the Fourth Proportional to 34,651.26, 51,971.49 and 9,688.68

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Solution

The fourth proportional to 34,651.26, 51,971.49 and 9,688.68 is: 14,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.26 : 51,971.49 = 9,688.68 : x
  2. Step 2: Convert to fraction form
    34,651.26/51,971.49 = 9,688.68/x
  3. Step 3: Cross multiply
    34,651.26x = 51,971.49 × 9,688.68
  4. Step 4: Simplify right side
    34,651.26x = 503,535,135.73
  5. Step 5: Solve for x
    x = 503,535,135.73/34,651.26
  6. Step 6: Final answer
    x = 14,531.51

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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.