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Finding the Fourth Proportional to 34,641.50, 51,949.49 and 12,448.94

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Solution

The fourth proportional to 34,641.50, 51,949.49 and 12,448.94 is: 18,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,641.50 : 51,949.49 = 12,448.94 : x
  2. Step 2: Convert to fraction form
    34,641.50/51,949.49 = 12,448.94/x
  3. Step 3: Cross multiply
    34,641.50x = 51,949.49 × 12,448.94
  4. Step 4: Simplify right side
    34,641.50x = 646,715,762.05
  5. Step 5: Solve for x
    x = 646,715,762.05/34,641.50
  6. Step 6: Final answer
    x = 18,668.82

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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.