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Finding the Fourth Proportional to 31,507.10, 43,481.76 and 17,359.94

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Solution

The fourth proportional to 31,507.10, 43,481.76 and 17,359.94 is: 23,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.10 : 43,481.76 = 17,359.94 : x
  2. Step 2: Convert to fraction form
    31,507.10/43,481.76 = 17,359.94/x
  3. Step 3: Cross multiply
    31,507.10x = 43,481.76 × 17,359.94
  4. Step 4: Simplify right side
    31,507.10x = 754,840,744.69
  5. Step 5: Solve for x
    x = 754,840,744.69/31,507.10
  6. Step 6: Final answer
    x = 23,957.80

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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.