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Finding the Fourth Proportional to 31,652.96, 43,680.54 and 17,505.80

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Solution

The fourth proportional to 31,652.96, 43,680.54 and 17,505.80 is: 24,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.96 : 43,680.54 = 17,505.80 : x
  2. Step 2: Convert to fraction form
    31,652.96/43,680.54 = 17,505.80/x
  3. Step 3: Cross multiply
    31,652.96x = 43,680.54 × 17,505.80
  4. Step 4: Simplify right side
    31,652.96x = 764,662,808.18
  5. Step 5: Solve for x
    x = 764,662,808.18/31,652.96
  6. Step 6: Final answer
    x = 24,157.71

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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.