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Finding the Fourth Proportional to 29,834.46, 41,171.70 and 16,406.58

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Solution

The fourth proportional to 29,834.46, 41,171.70 and 16,406.58 is: 22,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.46 : 41,171.70 = 16,406.58 : x
  2. Step 2: Convert to fraction form
    29,834.46/41,171.70 = 16,406.58/x
  3. Step 3: Cross multiply
    29,834.46x = 41,171.70 × 16,406.58
  4. Step 4: Simplify right side
    29,834.46x = 675,486,789.79
  5. Step 5: Solve for x
    x = 675,486,789.79/29,834.46
  6. Step 6: Final answer
    x = 22,641.16

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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.