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Finding the Fourth Proportional to 32,906.16, 45,406.44 and 20,964.60

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Solution

The fourth proportional to 32,906.16, 45,406.44 and 20,964.60 is: 28,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.16 : 45,406.44 = 20,964.60 : x
  2. Step 2: Convert to fraction form
    32,906.16/45,406.44 = 20,964.60/x
  3. Step 3: Cross multiply
    32,906.16x = 45,406.44 × 20,964.60
  4. Step 4: Simplify right side
    32,906.16x = 951,927,852.02
  5. Step 5: Solve for x
    x = 951,927,852.02/32,906.16
  6. Step 6: Final answer
    x = 28,928.56

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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.