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Finding the Fourth Proportional to 31,875.82, 43,986.74 and 18,446.12

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Solution

The fourth proportional to 31,875.82, 43,986.74 and 18,446.12 is: 25,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.82 : 43,986.74 = 18,446.12 : x
  2. Step 2: Convert to fraction form
    31,875.82/43,986.74 = 18,446.12/x
  3. Step 3: Cross multiply
    31,875.82x = 43,986.74 × 18,446.12
  4. Step 4: Simplify right side
    31,875.82x = 811,384,372.28
  5. Step 5: Solve for x
    x = 811,384,372.28/31,875.82
  6. Step 6: Final answer
    x = 25,454.54

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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.