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Finding the Fourth Proportional to 31,568.43, 43,568.63 and 20,084.41

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Solution

The fourth proportional to 31,568.43, 43,568.63 and 20,084.41 is: 27,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,568.43 : 43,568.63 = 20,084.41 : x
  2. Step 2: Convert to fraction form
    31,568.43/43,568.63 = 20,084.41/x
  3. Step 3: Cross multiply
    31,568.43x = 43,568.63 × 20,084.41
  4. Step 4: Simplify right side
    31,568.43x = 875,050,125.31
  5. Step 5: Solve for x
    x = 875,050,125.31/31,568.43
  6. Step 6: Final answer
    x = 27,719.15

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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.