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Finding the Fourth Proportional to 41,716, 57,568.08 and 24,949

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Solution

The fourth proportional to 41,716, 57,568.08 and 24,949 is: 34,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,716 : 57,568.08 = 24,949 : x
  2. Step 2: Convert to fraction form
    41,716/57,568.08 = 24,949/x
  3. Step 3: Cross multiply
    41,716x = 57,568.08 × 24,949
  4. Step 4: Simplify right side
    41,716x = 1,436,266,027.92
  5. Step 5: Solve for x
    x = 1,436,266,027.92/41,716
  6. Step 6: Final answer
    x = 34,429.62

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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.