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Finding the Fourth Proportional to 31,712.40, 43,761.60 and 18,284.40

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Solution

The fourth proportional to 31,712.40, 43,761.60 and 18,284.40 is: 25,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.40 : 43,761.60 = 18,284.40 : x
  2. Step 2: Convert to fraction form
    31,712.40/43,761.60 = 18,284.40/x
  3. Step 3: Cross multiply
    31,712.40x = 43,761.60 × 18,284.40
  4. Step 4: Simplify right side
    31,712.40x = 800,154,599.04
  5. Step 5: Solve for x
    x = 800,154,599.04/31,712.40
  6. Step 6: Final answer
    x = 25,231.60

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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.