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Finding the Fourth Proportional to 29,814.96, 44,721.97 and 7,628.14

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Solution

The fourth proportional to 29,814.96, 44,721.97 and 7,628.14 is: 11,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814.96 : 44,721.97 = 7,628.14 : x
  2. Step 2: Convert to fraction form
    29,814.96/44,721.97 = 7,628.14/x
  3. Step 3: Cross multiply
    29,814.96x = 44,721.97 × 7,628.14
  4. Step 4: Simplify right side
    29,814.96x = 341,145,448.24
  5. Step 5: Solve for x
    x = 341,145,448.24/29,814.96
  6. Step 6: Final answer
    x = 11,442.09

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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.