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Finding the Fourth Proportional to 33,536.96, 46,281.60 and 18,431

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Solution

The fourth proportional to 33,536.96, 46,281.60 and 18,431 is: 25,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,536.96 : 46,281.60 = 18,431 : x
  2. Step 2: Convert to fraction form
    33,536.96/46,281.60 = 18,431/x
  3. Step 3: Cross multiply
    33,536.96x = 46,281.60 × 18,431
  4. Step 4: Simplify right side
    33,536.96x = 853,016,169.60
  5. Step 5: Solve for x
    x = 853,016,169.60/33,536.96
  6. Step 6: Final answer
    x = 25,435.11

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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.