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Finding the Fourth Proportional to 34,044.12, 51,072.66 and 13,266

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Solution

The fourth proportional to 34,044.12, 51,072.66 and 13,266 is: 19,901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,044.12 : 51,072.66 = 13,266 : x
  2. Step 2: Convert to fraction form
    34,044.12/51,072.66 = 13,266/x
  3. Step 3: Cross multiply
    34,044.12x = 51,072.66 × 13,266
  4. Step 4: Simplify right side
    34,044.12x = 677,529,907.56
  5. Step 5: Solve for x
    x = 677,529,907.56/34,044.12
  6. Step 6: Final answer
    x = 19,901.53

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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.