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Finding the Fourth Proportional to 34,064.71, 51,105.27 and 10,691.14

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Solution

The fourth proportional to 34,064.71, 51,105.27 and 10,691.14 is: 16,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,064.71 : 51,105.27 = 10,691.14 : x
  2. Step 2: Convert to fraction form
    34,064.71/51,105.27 = 10,691.14/x
  3. Step 3: Cross multiply
    34,064.71x = 51,105.27 × 10,691.14
  4. Step 4: Simplify right side
    34,064.71x = 546,373,596.31
  5. Step 5: Solve for x
    x = 546,373,596.31/34,064.71
  6. Step 6: Final answer
    x = 16,039.29

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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.