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Finding the Fourth Proportional to 32,733.82, 45,171.47 and 20,008.32

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Solution

The fourth proportional to 32,733.82, 45,171.47 and 20,008.32 is: 27,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,733.82 : 45,171.47 = 20,008.32 : x
  2. Step 2: Convert to fraction form
    32,733.82/45,171.47 = 20,008.32/x
  3. Step 3: Cross multiply
    32,733.82x = 45,171.47 × 20,008.32
  4. Step 4: Simplify right side
    32,733.82x = 903,805,107.26
  5. Step 5: Solve for x
    x = 903,805,107.26/32,733.82
  6. Step 6: Final answer
    x = 27,610.74

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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.