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Finding the Fourth Proportional to 34,072.84, 51,105.67 and 9,115.41

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Solution

The fourth proportional to 34,072.84, 51,105.67 and 9,115.41 is: 13,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,072.84 : 51,105.67 = 9,115.41 : x
  2. Step 2: Convert to fraction form
    34,072.84/51,105.67 = 9,115.41/x
  3. Step 3: Cross multiply
    34,072.84x = 51,105.67 × 9,115.41
  4. Step 4: Simplify right side
    34,072.84x = 465,849,089.80
  5. Step 5: Solve for x
    x = 465,849,089.80/34,072.84
  6. Step 6: Final answer
    x = 13,672.15

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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.