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Finding the Fourth Proportional to 32,567.26, 44,942.82 and 18,419.80

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Solution

The fourth proportional to 32,567.26, 44,942.82 and 18,419.80 is: 25,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,567.26 : 44,942.82 = 18,419.80 : x
  2. Step 2: Convert to fraction form
    32,567.26/44,942.82 = 18,419.80/x
  3. Step 3: Cross multiply
    32,567.26x = 44,942.82 × 18,419.80
  4. Step 4: Simplify right side
    32,567.26x = 827,837,755.84
  5. Step 5: Solve for x
    x = 827,837,755.84/32,567.26
  6. Step 6: Final answer
    x = 25,419.32

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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.