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Finding the Fourth Proportional to 32,769.33, 45,208.85 and 20,172.21

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Solution

The fourth proportional to 32,769.33, 45,208.85 and 20,172.21 is: 27,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769.33 : 45,208.85 = 20,172.21 : x
  2. Step 2: Convert to fraction form
    32,769.33/45,208.85 = 20,172.21/x
  3. Step 3: Cross multiply
    32,769.33x = 45,208.85 × 20,172.21
  4. Step 4: Simplify right side
    32,769.33x = 911,962,315.20
  5. Step 5: Solve for x
    x = 911,962,315.20/32,769.33
  6. Step 6: Final answer
    x = 27,829.75

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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.