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Finding the Fourth Proportional to 32,053.44, 48,090.86 and 20,193.53

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Solution

The fourth proportional to 32,053.44, 48,090.86 and 20,193.53 is: 30,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.44 : 48,090.86 = 20,193.53 : x
  2. Step 2: Convert to fraction form
    32,053.44/48,090.86 = 20,193.53/x
  3. Step 3: Cross multiply
    32,053.44x = 48,090.86 × 20,193.53
  4. Step 4: Simplify right side
    32,053.44x = 971,123,882.71
  5. Step 5: Solve for x
    x = 971,123,882.71/32,053.44
  6. Step 6: Final answer
    x = 30,297.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.