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Finding the Fourth Proportional to 29,806.14, 44,709.21 and 9,029.82

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Solution

The fourth proportional to 29,806.14, 44,709.21 and 9,029.82 is: 13,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806.14 : 44,709.21 = 9,029.82 : x
  2. Step 2: Convert to fraction form
    29,806.14/44,709.21 = 9,029.82/x
  3. Step 3: Cross multiply
    29,806.14x = 44,709.21 × 9,029.82
  4. Step 4: Simplify right side
    29,806.14x = 403,716,118.64
  5. Step 5: Solve for x
    x = 403,716,118.64/29,806.14
  6. Step 6: Final answer
    x = 13,544.73

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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.