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Finding the Fourth Proportional to 31,563.72, 43,557.84 and 17,416.58

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Solution

The fourth proportional to 31,563.72, 43,557.84 and 17,416.58 is: 24,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563.72 : 43,557.84 = 17,416.58 : x
  2. Step 2: Convert to fraction form
    31,563.72/43,557.84 = 17,416.58/x
  3. Step 3: Cross multiply
    31,563.72x = 43,557.84 × 17,416.58
  4. Step 4: Simplify right side
    31,563.72x = 758,628,604.99
  5. Step 5: Solve for x
    x = 758,628,604.99/31,563.72
  6. Step 6: Final answer
    x = 24,034.83

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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.