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Finding the Fourth Proportional to 29,744, 44,575.80 and 11,006.47

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Solution

The fourth proportional to 29,744, 44,575.80 and 11,006.47 is: 16,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,744 : 44,575.80 = 11,006.47 : x
  2. Step 2: Convert to fraction form
    29,744/44,575.80 = 11,006.47/x
  3. Step 3: Cross multiply
    29,744x = 44,575.80 × 11,006.47
  4. Step 4: Simplify right side
    29,744x = 490,622,205.43
  5. Step 5: Solve for x
    x = 490,622,205.43/29,744
  6. Step 6: Final answer
    x = 16,494.83

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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.