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Finding the Fourth Proportional to 32,135.28, 48,213.48 and 20,275.32

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Solution

The fourth proportional to 32,135.28, 48,213.48 and 20,275.32 is: 30,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.28 : 48,213.48 = 20,275.32 : x
  2. Step 2: Convert to fraction form
    32,135.28/48,213.48 = 20,275.32/x
  3. Step 3: Cross multiply
    32,135.28x = 48,213.48 × 20,275.32
  4. Step 4: Simplify right side
    32,135.28x = 977,543,735.31
  5. Step 5: Solve for x
    x = 977,543,735.31/32,135.28
  6. Step 6: Final answer
    x = 30,419.64

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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.