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Finding the Fourth Proportional to 54,781.39, 82,172.32 and 17,341.64

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Solution

The fourth proportional to 54,781.39, 82,172.32 and 17,341.64 is: 26,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,781.39 : 82,172.32 = 17,341.64 : x
  2. Step 2: Convert to fraction form
    54,781.39/82,172.32 = 17,341.64/x
  3. Step 3: Cross multiply
    54,781.39x = 82,172.32 × 17,341.64
  4. Step 4: Simplify right side
    54,781.39x = 1,425,003,205.10
  5. Step 5: Solve for x
    x = 1,425,003,205.10/54,781.39
  6. Step 6: Final answer
    x = 26,012.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.