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Finding the Fourth Proportional to 31,072.50, 42,884.10 and 18,497.25

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Solution

The fourth proportional to 31,072.50, 42,884.10 and 18,497.25 is: 25,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,072.50 : 42,884.10 = 18,497.25 : x
  2. Step 2: Convert to fraction form
    31,072.50/42,884.10 = 18,497.25/x
  3. Step 3: Cross multiply
    31,072.50x = 42,884.10 × 18,497.25
  4. Step 4: Simplify right side
    31,072.50x = 793,237,918.73
  5. Step 5: Solve for x
    x = 793,237,918.73/31,072.50
  6. Step 6: Final answer
    x = 25,528.62

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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.