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Finding the Fourth Proportional to 29,785.46, 41,107.22 and 17,039.83

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Solution

The fourth proportional to 29,785.46, 41,107.22 and 17,039.83 is: 23,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,785.46 : 41,107.22 = 17,039.83 : x
  2. Step 2: Convert to fraction form
    29,785.46/41,107.22 = 17,039.83/x
  3. Step 3: Cross multiply
    29,785.46x = 41,107.22 × 17,039.83
  4. Step 4: Simplify right side
    29,785.46x = 700,459,749.84
  5. Step 5: Solve for x
    x = 700,459,749.84/29,785.46
  6. Step 6: Final answer
    x = 23,516.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.