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Finding the Fourth Proportional to 34,161.84, 51,245.82 and 9,201.33

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Solution

The fourth proportional to 34,161.84, 51,245.82 and 9,201.33 is: 13,802.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,161.84 : 51,245.82 = 9,201.33 : x
  2. Step 2: Convert to fraction form
    34,161.84/51,245.82 = 9,201.33/x
  3. Step 3: Cross multiply
    34,161.84x = 51,245.82 × 9,201.33
  4. Step 4: Simplify right side
    34,161.84x = 471,529,700.94
  5. Step 5: Solve for x
    x = 471,529,700.94/34,161.84
  6. Step 6: Final answer
    x = 13,802.82

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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.