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Finding the Fourth Proportional to 31,657.70, 43,687.08 and 17,510.54

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Solution

The fourth proportional to 31,657.70, 43,687.08 and 17,510.54 is: 24,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.70 : 43,687.08 = 17,510.54 : x
  2. Step 2: Convert to fraction form
    31,657.70/43,687.08 = 17,510.54/x
  3. Step 3: Cross multiply
    31,657.70x = 43,687.08 × 17,510.54
  4. Step 4: Simplify right side
    31,657.70x = 764,984,143.39
  5. Step 5: Solve for x
    x = 764,984,143.39/31,657.70
  6. Step 6: Final answer
    x = 24,164.24

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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.