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Finding the Fourth Proportional to 31,322.68, 43,227.32 and 20,693.68

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Solution

The fourth proportional to 31,322.68, 43,227.32 and 20,693.68 is: 28,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,322.68 : 43,227.32 = 20,693.68 : x
  2. Step 2: Convert to fraction form
    31,322.68/43,227.32 = 20,693.68/x
  3. Step 3: Cross multiply
    31,322.68x = 43,227.32 × 20,693.68
  4. Step 4: Simplify right side
    31,322.68x = 894,532,327.34
  5. Step 5: Solve for x
    x = 894,532,327.34/31,322.68
  6. Step 6: Final answer
    x = 28,558.61

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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.