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Finding the Fourth Proportional to 32,090.40, 48,224.16 and 28,027.68

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Solution

The fourth proportional to 32,090.40, 48,224.16 and 28,027.68 is: 42,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,090.40 : 48,224.16 = 28,027.68 : x
  2. Step 2: Convert to fraction form
    32,090.40/48,224.16 = 28,027.68/x
  3. Step 3: Cross multiply
    32,090.40x = 48,224.16 × 28,027.68
  4. Step 4: Simplify right side
    32,090.40x = 1,351,611,324.75
  5. Step 5: Solve for x
    x = 1,351,611,324.75/32,090.40
  6. Step 6: Final answer
    x = 42,118.87

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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.