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Finding the Fourth Proportional to 29,834.48, 41,171.67 and 16,406.57

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Solution

The fourth proportional to 29,834.48, 41,171.67 and 16,406.57 is: 22,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.48 : 41,171.67 = 16,406.57 : x
  2. Step 2: Convert to fraction form
    29,834.48/41,171.67 = 16,406.57/x
  3. Step 3: Cross multiply
    29,834.48x = 41,171.67 × 16,406.57
  4. Step 4: Simplify right side
    29,834.48x = 675,485,680.01
  5. Step 5: Solve for x
    x = 675,485,680.01/29,834.48
  6. Step 6: Final answer
    x = 22,641.11

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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.