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Finding the Fourth Proportional to 34,709.82, 52,064.26 and 8,414.79

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Solution

The fourth proportional to 34,709.82, 52,064.26 and 8,414.79 is: 12,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,709.82 : 52,064.26 = 8,414.79 : x
  2. Step 2: Convert to fraction form
    34,709.82/52,064.26 = 8,414.79/x
  3. Step 3: Cross multiply
    34,709.82x = 52,064.26 × 8,414.79
  4. Step 4: Simplify right side
    34,709.82x = 438,109,814.41
  5. Step 5: Solve for x
    x = 438,109,814.41/34,709.82
  6. Step 6: Final answer
    x = 12,622.07

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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.