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Finding the Fourth Proportional to 32,039.31, 44,204.49 and 20,102.34

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Solution

The fourth proportional to 32,039.31, 44,204.49 and 20,102.34 is: 27,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039.31 : 44,204.49 = 20,102.34 : x
  2. Step 2: Convert to fraction form
    32,039.31/44,204.49 = 20,102.34/x
  3. Step 3: Cross multiply
    32,039.31x = 44,204.49 × 20,102.34
  4. Step 4: Simplify right side
    32,039.31x = 888,613,687.51
  5. Step 5: Solve for x
    x = 888,613,687.51/32,039.31
  6. Step 6: Final answer
    x = 27,735.11

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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.