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Finding the Fourth Proportional to 32,767.82, 45,218.10 and 20,042.32

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Solution

The fourth proportional to 32,767.82, 45,218.10 and 20,042.32 is: 27,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.82 : 45,218.10 = 20,042.32 : x
  2. Step 2: Convert to fraction form
    32,767.82/45,218.10 = 20,042.32/x
  3. Step 3: Cross multiply
    32,767.82x = 45,218.10 × 20,042.32
  4. Step 4: Simplify right side
    32,767.82x = 906,275,629.99
  5. Step 5: Solve for x
    x = 906,275,629.99/32,767.82
  6. Step 6: Final answer
    x = 27,657.49

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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.