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Finding the Fourth Proportional to 34,072.41, 51,105.01 and 9,114.97

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Solution

The fourth proportional to 34,072.41, 51,105.01 and 9,114.97 is: 13,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,072.41 : 51,105.01 = 9,114.97 : x
  2. Step 2: Convert to fraction form
    34,072.41/51,105.01 = 9,114.97/x
  3. Step 3: Cross multiply
    34,072.41x = 51,105.01 × 9,114.97
  4. Step 4: Simplify right side
    34,072.41x = 465,820,587.42
  5. Step 5: Solve for x
    x = 465,820,587.42/34,072.41
  6. Step 6: Final answer
    x = 13,671.49

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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.