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Finding the Fourth Proportional to 31,657.57, 43,684.72 and 17,506.87

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Solution

The fourth proportional to 31,657.57, 43,684.72 and 17,506.87 is: 24,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.57 : 43,684.72 = 17,506.87 : x
  2. Step 2: Convert to fraction form
    31,657.57/43,684.72 = 17,506.87/x
  3. Step 3: Cross multiply
    31,657.57x = 43,684.72 × 17,506.87
  4. Step 4: Simplify right side
    31,657.57x = 764,782,714.03
  5. Step 5: Solve for x
    x = 764,782,714.03/31,657.57
  6. Step 6: Final answer
    x = 24,157.97

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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.