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Finding the Fourth Proportional to 32,732.96, 45,144.07 and 20,135.84

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Solution

The fourth proportional to 32,732.96, 45,144.07 and 20,135.84 is: 27,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,732.96 : 45,144.07 = 20,135.84 : x
  2. Step 2: Convert to fraction form
    32,732.96/45,144.07 = 20,135.84/x
  3. Step 3: Cross multiply
    32,732.96x = 45,144.07 × 20,135.84
  4. Step 4: Simplify right side
    32,732.96x = 909,013,494.41
  5. Step 5: Solve for x
    x = 909,013,494.41/32,732.96
  6. Step 6: Final answer
    x = 27,770.59

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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.